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Simplifying 4(3x + 2) = 3(x + -6) Reorder the terms: 4(2 + 3x) = 3(x + -6) (2 * 4 + 3x * 4) = 3(x + -6) (8 + 12x) = 3(x + -6) Reorder the terms: 8 + 12x = 3(-6 + x) 8 + 12x = (-6 * 3 + x * 3) 8 + 12x = (-18 + 3x) Solving 8 + 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. 8 + 12x + -3x = -18 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = -18 + 0 8 + 9x = -18 Add '-8' to each side of the equation. 8 + -8 + 9x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -18 + -8 9x = -18 + -8 Combine like terms: -18 + -8 = -26 9x = -26 Divide each side by '9'. x = -2.888888889 Simplifying x = -2.888888889
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