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Simplifying 3x + 2(x + -5) = 7 + -1(x + 3) Reorder the terms: 3x + 2(-5 + x) = 7 + -1(x + 3) 3x + (-5 * 2 + x * 2) = 7 + -1(x + 3) 3x + (-10 + 2x) = 7 + -1(x + 3) Reorder the terms: -10 + 3x + 2x = 7 + -1(x + 3) Combine like terms: 3x + 2x = 5x -10 + 5x = 7 + -1(x + 3) Reorder the terms: -10 + 5x = 7 + -1(3 + x) -10 + 5x = 7 + (3 * -1 + x * -1) -10 + 5x = 7 + (-3 + -1x) Combine like terms: 7 + -3 = 4 -10 + 5x = 4 + -1x Solving -10 + 5x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 5x + x = 4 + -1x + x Combine like terms: 5x + x = 6x -10 + 6x = 4 + -1x + x Combine like terms: -1x + x = 0 -10 + 6x = 4 + 0 -10 + 6x = 4 Add '10' to each side of the equation. -10 + 10 + 6x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 4 + 10 6x = 4 + 10 Combine like terms: 4 + 10 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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