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Simplifying -5(x + -7) = -5(2x + 3) Reorder the terms: -5(-7 + x) = -5(2x + 3) (-7 * -5 + x * -5) = -5(2x + 3) (35 + -5x) = -5(2x + 3) Reorder the terms: 35 + -5x = -5(3 + 2x) 35 + -5x = (3 * -5 + 2x * -5) 35 + -5x = (-15 + -10x) Solving 35 + -5x = -15 + -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 = -15 + -10x + 10x Combine like terms: -5x + 10x = 5x 35 + 5x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 35 + 5x = -15 + 0 35 + 5x = -15 Add '-35' to each side of the equation. 35 + -35 + 5x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -15 + -35 5x = -15 + -35 Combine like terms: -15 + -35 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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