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Simplifying 7 + -1(x + 2) = 2(x + 4) Reorder the terms: 7 + -1(2 + x) = 2(x + 4) 7 + (2 * -1 + x * -1) = 2(x + 4) 7 + (-2 + -1x) = 2(x + 4) Combine like terms: 7 + -2 = 5 5 + -1x = 2(x + 4) Reorder the terms: 5 + -1x = 2(4 + x) 5 + -1x = (4 * 2 + x * 2) 5 + -1x = (8 + 2x) Solving 5 + -1x = 8 + 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. 5 + -1x + -2x = 8 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = 8 + 0 5 + -3x = 8 Add '-5' to each side of the equation. 5 + -5 + -3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 8 + -5 -3x = 8 + -5 Combine like terms: 8 + -5 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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