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Simplifying 2(x + -4) = 5(x + -7) Reorder the terms: 2(-4 + x) = 5(x + -7) (-4 * 2 + x * 2) = 5(x + -7) (-8 + 2x) = 5(x + -7) Reorder the terms: -8 + 2x = 5(-7 + x) -8 + 2x = (-7 * 5 + x * 5) -8 + 2x = (-35 + 5x) Solving -8 + 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. -8 + 2x + -5x = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = -35 + 0 -8 + -3x = -35 Add '8' to each side of the equation. -8 + 8 + -3x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -35 + 8 -3x = -35 + 8 Combine like terms: -35 + 8 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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