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Simplifying 12x + 6(4 + -7x) = 9(2x + 4) 12x + (4 * 6 + -7x * 6) = 9(2x + 4) 12x + (24 + -42x) = 9(2x + 4) Reorder the terms: 24 + 12x + -42x = 9(2x + 4) Combine like terms: 12x + -42x = -30x 24 + -30x = 9(2x + 4) Reorder the terms: 24 + -30x = 9(4 + 2x) 24 + -30x = (4 * 9 + 2x * 9) 24 + -30x = (36 + 18x) Solving 24 + -30x = 36 + 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. 24 + -30x + -18x = 36 + 18x + -18x Combine like terms: -30x + -18x = -48x 24 + -48x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -48x = 36 + 0 24 + -48x = 36 Add '-24' to each side of the equation. 24 + -24 + -48x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -48x = 36 + -24 -48x = 36 + -24 Combine like terms: 36 + -24 = 12 -48x = 12 Divide each side by '-48'. x = -0.25 Simplifying x = -0.25
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