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Simplifying -2(x + 3) = x + 9 Reorder the terms: -2(3 + x) = x + 9 (3 * -2 + x * -2) = x + 9 (-6 + -2x) = x + 9 Reorder the terms: -6 + -2x = 9 + x Solving -6 + -2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -2x + -1x = 9 + x + -1x Combine like terms: -2x + -1x = -3x -6 + -3x = 9 + x + -1x Combine like terms: x + -1x = 0 -6 + -3x = 9 + 0 -6 + -3x = 9 Add '6' to each side of the equation. -6 + 6 + -3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 9 + 6 -3x = 9 + 6 Combine like terms: 9 + 6 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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