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Simplifying 4(3x + 3) = 3(2x + -6) Reorder the terms: 4(3 + 3x) = 3(2x + -6) (3 * 4 + 3x * 4) = 3(2x + -6) (12 + 12x) = 3(2x + -6) Reorder the terms: 12 + 12x = 3(-6 + 2x) 12 + 12x = (-6 * 3 + 2x * 3) 12 + 12x = (-18 + 6x) Solving 12 + 12x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 12x + -6x = -18 + 6x + -6x Combine like terms: 12x + -6x = 6x 12 + 6x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 6x = -18 + 0 12 + 6x = -18 Add '-12' to each side of the equation. 12 + -12 + 6x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -18 + -12 6x = -18 + -12 Combine like terms: -18 + -12 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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