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Simplifying 9 + 2(x + 4) = x + -2(5 + x) Reorder the terms: 9 + 2(4 + x) = x + -2(5 + x) 9 + (4 * 2 + x * 2) = x + -2(5 + x) 9 + (8 + 2x) = x + -2(5 + x) Combine like terms: 9 + 8 = 17 17 + 2x = x + -2(5 + x) 17 + 2x = x + (5 * -2 + x * -2) 17 + 2x = x + (-10 + -2x) Reorder the terms: 17 + 2x = -10 + x + -2x Combine like terms: x + -2x = -1x 17 + 2x = -10 + -1x Solving 17 + 2x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17 + 2x + x = -10 + -1x + x Combine like terms: 2x + x = 3x 17 + 3x = -10 + -1x + x Combine like terms: -1x + x = 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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