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Simplifying 6(3x + 4) = 3(x + -6) Reorder the terms: 6(4 + 3x) = 3(x + -6) (4 * 6 + 3x * 6) = 3(x + -6) (24 + 18x) = 3(x + -6) Reorder the terms: 24 + 18x = 3(-6 + x) 24 + 18x = (-6 * 3 + x * 3) 24 + 18x = (-18 + 3x) Solving 24 + 18x = -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. 24 + 18x + -3x = -18 + 3x + -3x Combine like terms: 18x + -3x = 15x 24 + 15x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 15x = -18 + 0 24 + 15x = -18 Add '-24' to each side of the equation. 24 + -24 + 15x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = -18 + -24 15x = -18 + -24 Combine like terms: -18 + -24 = -42 15x = -42 Divide each side by '15'. x = -2.8 Simplifying x = -2.8
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