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Simplifying -3(6 + 3x) + 2(x + 2) = 3x + 2 + -2x (6 * -3 + 3x * -3) + 2(x + 2) = 3x + 2 + -2x (-18 + -9x) + 2(x + 2) = 3x + 2 + -2x Reorder the terms: -18 + -9x + 2(2 + x) = 3x + 2 + -2x -18 + -9x + (2 * 2 + x * 2) = 3x + 2 + -2x -18 + -9x + (4 + 2x) = 3x + 2 + -2x Reorder the terms: -18 + 4 + -9x + 2x = 3x + 2 + -2x Combine like terms: -18 + 4 = -14 -14 + -9x + 2x = 3x + 2 + -2x Combine like terms: -9x + 2x = -7x -14 + -7x = 3x + 2 + -2x Reorder the terms: -14 + -7x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x -14 + -7x = 2 + 1x Solving -14 + -7x = 2 + 1x 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. -14 + -7x + -1x = 2 + 1x + -1x Combine like terms: -7x + -1x = -8x -14 + -8x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + -8x = 2 + 0 -14 + -8x = 2 Add '14' to each side of the equation. -14 + 14 + -8x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 2 + 14 -8x = 2 + 14 Combine like terms: 2 + 14 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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