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Simplifying 3 + 5(x + -2) = 4 + 2(x + -3) Reorder the terms: 3 + 5(-2 + x) = 4 + 2(x + -3) 3 + (-2 * 5 + x * 5) = 4 + 2(x + -3) 3 + (-10 + 5x) = 4 + 2(x + -3) Combine like terms: 3 + -10 = -7 -7 + 5x = 4 + 2(x + -3) Reorder the terms: -7 + 5x = 4 + 2(-3 + x) -7 + 5x = 4 + (-3 * 2 + x * 2) -7 + 5x = 4 + (-6 + 2x) Combine like terms: 4 + -6 = -2 -7 + 5x = -2 + 2x Solving -7 + 5x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = -2 + 0 -7 + 3x = -2 Add '7' to each side of the equation. -7 + 7 + 3x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -2 + 7 3x = -2 + 7 Combine like terms: -2 + 7 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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