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Simplifying 3(2x + 4) = 6(3x + -3) + -6 Reorder the terms: 3(4 + 2x) = 6(3x + -3) + -6 (4 * 3 + 2x * 3) = 6(3x + -3) + -6 (12 + 6x) = 6(3x + -3) + -6 Reorder the terms: 12 + 6x = 6(-3 + 3x) + -6 12 + 6x = (-3 * 6 + 3x * 6) + -6 12 + 6x = (-18 + 18x) + -6 Reorder the terms: 12 + 6x = -18 + -6 + 18x Combine like terms: -18 + -6 = -24 12 + 6x = -24 + 18x Solving 12 + 6x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + 6x + -18x = -24 + 18x + -18x Combine like terms: 6x + -18x = -12x 12 + -12x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -12x = -24 + 0 12 + -12x = -24 Add '-12' to each side of the equation. 12 + -12 + -12x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -24 + -12 -12x = -24 + -12 Combine like terms: -24 + -12 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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