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Simplifying -3x + 2(2x + -6) = -9 + 2x Reorder the terms: -3x + 2(-6 + 2x) = -9 + 2x -3x + (-6 * 2 + 2x * 2) = -9 + 2x -3x + (-12 + 4x) = -9 + 2x Reorder the terms: -12 + -3x + 4x = -9 + 2x Combine like terms: -3x + 4x = 1x -12 + 1x = -9 + 2x Solving -12 + 1x = -9 + 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. -12 + 1x + -2x = -9 + 2x + -2x Combine like terms: 1x + -2x = -1x -12 + -1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -1x = -9 + 0 -12 + -1x = -9 Add '12' to each side of the equation. -12 + 12 + -1x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -9 + 12 -1x = -9 + 12 Combine like terms: -9 + 12 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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