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Simplifying 2(x + -5) = 5(x + -7) Reorder the terms: 2(-5 + x) = 5(x + -7) (-5 * 2 + x * 2) = 5(x + -7) (-10 + 2x) = 5(x + -7) Reorder the terms: -10 + 2x = 5(-7 + x) -10 + 2x = (-7 * 5 + x * 5) -10 + 2x = (-35 + 5x) Solving -10 + 2x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 2x + -5x = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -35 + 0 -10 + -3x = -35 Add '10' to each side of the equation. -10 + 10 + -3x = -35 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -35 + 10 -3x = -35 + 10 Combine like terms: -35 + 10 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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