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Simplifying 3(4x + 6) = 3(x + -6) Reorder the terms: 3(6 + 4x) = 3(x + -6) (6 * 3 + 4x * 3) = 3(x + -6) (18 + 12x) = 3(x + -6) Reorder the terms: 18 + 12x = 3(-6 + x) 18 + 12x = (-6 * 3 + x * 3) 18 + 12x = (-18 + 3x) Solving 18 + 12x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 12x + -3x = -18 + 3x + -3x Combine like terms: 12x + -3x = 9x 18 + 9x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 9x = -18 + 0 18 + 9x = -18 Add '-18' to each side of the equation. 18 + -18 + 9x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = -18 + -18 9x = -18 + -18 Combine like terms: -18 + -18 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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