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Simplifying x + -2(x + 2) = 2(x + 9) Reorder the terms: x + -2(2 + x) = 2(x + 9) x + (2 * -2 + x * -2) = 2(x + 9) x + (-4 + -2x) = 2(x + 9) Reorder the terms: -4 + x + -2x = 2(x + 9) Combine like terms: x + -2x = -1x -4 + -1x = 2(x + 9) Reorder the terms: -4 + -1x = 2(9 + x) -4 + -1x = (9 * 2 + x * 2) -4 + -1x = (18 + 2x) Solving -4 + -1x = 18 + 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. -4 + -1x + -2x = 18 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = 18 + 0 -4 + -3x = 18 Add '4' to each side of the equation. -4 + 4 + -3x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 18 + 4 -3x = 18 + 4 Combine like terms: 18 + 4 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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