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Simplifying 2(x + -3) = 9 + 3(x + -9) Reorder the terms: 2(-3 + x) = 9 + 3(x + -9) (-3 * 2 + x * 2) = 9 + 3(x + -9) (-6 + 2x) = 9 + 3(x + -9) Reorder the terms: -6 + 2x = 9 + 3(-9 + x) -6 + 2x = 9 + (-9 * 3 + x * 3) -6 + 2x = 9 + (-27 + 3x) Combine like terms: 9 + -27 = -18 -6 + 2x = -18 + 3x Solving -6 + 2x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 2x + -3x = -18 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -18 + 0 -6 + -1x = -18 Add '6' to each side of the equation. -6 + 6 + -1x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -18 + 6 -1x = -18 + 6 Combine like terms: -18 + 6 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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