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Simplifying 7 + 5(2 + -1x) = -2(x + 5) 7 + (2 * 5 + -1x * 5) = -2(x + 5) 7 + (10 + -5x) = -2(x + 5) Combine like terms: 7 + 10 = 17 17 + -5x = -2(x + 5) Reorder the terms: 17 + -5x = -2(5 + x) 17 + -5x = (5 * -2 + x * -2) 17 + -5x = (-10 + -2x) Solving 17 + -5x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + -5x + 2x = -10 + -2x + 2x Combine like terms: -5x + 2x = -3x 17 + -3x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + -3x = -10 + 0 17 + -3x = -10 Add '-17' to each side of the equation. 17 + -17 + -3x = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -10 + -17 -3x = -10 + -17 Combine like terms: -10 + -17 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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