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Simplifying 6(3 + -3x) = 6(2x + -2) (3 * 6 + -3x * 6) = 6(2x + -2) (18 + -18x) = 6(2x + -2) Reorder the terms: 18 + -18x = 6(-2 + 2x) 18 + -18x = (-2 * 6 + 2x * 6) 18 + -18x = (-12 + 12x) Solving 18 + -18x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -18x + -12x = -12 + 12x + -12x Combine like terms: -18x + -12x = -30x 18 + -30x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -30x = -12 + 0 18 + -30x = -12 Add '-18' to each side of the equation. 18 + -18 + -30x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -30x = -12 + -18 -30x = -12 + -18 Combine like terms: -12 + -18 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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