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Simplifying 4(x + -5) = 5(x + -7) Reorder the terms: 4(-5 + x) = 5(x + -7) (-5 * 4 + x * 4) = 5(x + -7) (-20 + 4x) = 5(x + -7) Reorder the terms: -20 + 4x = 5(-7 + x) -20 + 4x = (-7 * 5 + x * 5) -20 + 4x = (-35 + 5x) Solving -20 + 4x = -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. -20 + 4x + -5x = -35 + 5x + -5x Combine like terms: 4x + -5x = -1x -20 + -1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -1x = -35 + 0 -20 + -1x = -35 Add '20' to each side of the equation. -20 + 20 + -1x = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -35 + 20 -1x = -35 + 20 Combine like terms: -35 + 20 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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