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Simplifying -2(5 + -1x) = 5(x + 7) (5 * -2 + -1x * -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 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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