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Simplifying 3x + -3(x + -6) = 32 + 2x Reorder the terms: 3x + -3(-6 + x) = 32 + 2x 3x + (-6 * -3 + x * -3) = 32 + 2x 3x + (18 + -3x) = 32 + 2x Reorder the terms: 18 + 3x + -3x = 32 + 2x Combine like terms: 3x + -3x = 0 18 + 0 = 32 + 2x 18 = 32 + 2x Solving 18 = 32 + 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. 18 + -2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -2x = 32 + 0 18 + -2x = 32 Add '-18' to each side of the equation. 18 + -18 + -2x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 32 + -18 -2x = 32 + -18 Combine like terms: 32 + -18 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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