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Simplifying (30x3 + -42x2) + (5x + -7) = 30x2(x + -5) + 5(x + -5) Reorder the terms: (-42x2 + 30x3) + (5x + -7) = 30x2(x + -5) + 5(x + -5) Remove parenthesis around (-42x2 + 30x3) -42x2 + 30x3 + (5x + -7) = 30x2(x + -5) + 5(x + -5) Reorder the terms: -42x2 + 30x3 + (-7 + 5x) = 30x2(x + -5) + 5(x + -5) Remove parenthesis around (-7 + 5x) -42x2 + 30x3 + -7 + 5x = 30x2(x + -5) + 5(x + -5) Reorder the terms: -7 + 5x + -42x2 + 30x3 = 30x2(x + -5) + 5(x + -5) Reorder the terms: -7 + 5x + -42x2 + 30x3 = 30x2(-5 + x) + 5(x + -5) -7 + 5x + -42x2 + 30x3 = (-5 * 30x2 + x * 30x2) + 5(x + -5) -7 + 5x + -42x2 + 30x3 = (-150x2 + 30x3) + 5(x + -5) Reorder the terms: -7 + 5x + -42x2 + 30x3 = -150x2 + 30x3 + 5(-5 + x) -7 + 5x + -42x2 + 30x3 = -150x2 + 30x3 + (-5 * 5 + x * 5) -7 + 5x + -42x2 + 30x3 = -150x2 + 30x3 + (-25 + 5x) Reorder the terms: -7 + 5x + -42x2 + 30x3 = -25 + 5x + -150x2 + 30x3 Add '-5x' to each side of the equation. -7 + 5x + -42x2 + -5x + 30x3 = -25 + 5x + -150x2 + -5x + 30x3 Reorder the terms: -7 + 5x + -5x + -42x2 + 30x3 = -25 + 5x + -150x2 + -5x + 30x3 Combine like terms: 5x + -5x = 0 -7 + 0 + -42x2 + 30x3 = -25 + 5x + -150x2 + -5x + 30x3 -7 + -42x2 + 30x3 = -25 + 5x + -150x2 + -5x + 30x3 Reorder the terms: -7 + -42x2 + 30x3 = -25 + 5x + -5x + -150x2 + 30x3 Combine like terms: 5x + -5x = 0 -7 + -42x2 + 30x3 = -25 + 0 + -150x2 + 30x3 -7 + -42x2 + 30x3 = -25 + -150x2 + 30x3 Add '-30x3' to each side of the equation. -7 + -42x2 + 30x3 + -30x3 = -25 + -150x2 + 30x3 + -30x3 Combine like terms: 30x3 + -30x3 = 0 -7 + -42x2 + 0 = -25 + -150x2 + 30x3 + -30x3 -7 + -42x2 = -25 + -150x2 + 30x3 + -30x3 Combine like terms: 30x3 + -30x3 = 0 -7 + -42x2 = -25 + -150x2 + 0 -7 + -42x2 = -25 + -150x2 Solving -7 + -42x2 = -25 + -150x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x2' to each side of the equation. -7 + -42x2 + 150x2 = -25 + -150x2 + 150x2 Combine like terms: -42x2 + 150x2 = 108x2 -7 + 108x2 = -25 + -150x2 + 150x2 Combine like terms: -150x2 + 150x2 = 0 -7 + 108x2 = -25 + 0 -7 + 108x2 = -25 Add '7' to each side of the equation. -7 + 7 + 108x2 = -25 + 7 Combine like terms: -7 + 7 = 0 0 + 108x2 = -25 + 7 108x2 = -25 + 7 Combine like terms: -25 + 7 = -18 108x2 = -18 Divide each side by '108'. x2 = -0.1666666667 Simplifying x2 = -0.1666666667 Reorder the terms: 0.1666666667 + x2 = -0.1666666667 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.1666666667 + x2 = 0.0000000000 The solution to this equation could not be determined.
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