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Simplifying 5(x + -7) = 10(x + 4) Reorder the terms: 5(-7 + x) = 10(x + 4) (-7 * 5 + x * 5) = 10(x + 4) (-35 + 5x) = 10(x + 4) Reorder the terms: -35 + 5x = 10(4 + x) -35 + 5x = (4 * 10 + x * 10) -35 + 5x = (40 + 10x) Solving -35 + 5x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + 5x + -10x = 40 + 10x + -10x Combine like terms: 5x + -10x = -5x -35 + -5x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + -5x = 40 + 0 -35 + -5x = 40 Add '35' to each side of the equation. -35 + 35 + -5x = 40 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 40 + 35 -5x = 40 + 35 Combine like terms: 40 + 35 = 75 -5x = 75 Divide each side by '-5'. x = -15 Simplifying x = -15
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