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Simplifying 3 + 3(4x + -6) = 9 + -5(2x + 1) Reorder the terms: 3 + 3(-6 + 4x) = 9 + -5(2x + 1) 3 + (-6 * 3 + 4x * 3) = 9 + -5(2x + 1) 3 + (-18 + 12x) = 9 + -5(2x + 1) Combine like terms: 3 + -18 = -15 -15 + 12x = 9 + -5(2x + 1) Reorder the terms: -15 + 12x = 9 + -5(1 + 2x) -15 + 12x = 9 + (1 * -5 + 2x * -5) -15 + 12x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -15 + 12x = 4 + -10x Solving -15 + 12x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + 12x + 10x = 4 + -10x + 10x Combine like terms: 12x + 10x = 22x -15 + 22x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 22x = 4 + 0 -15 + 22x = 4 Add '15' to each side of the equation. -15 + 15 + 22x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 4 + 15 22x = 4 + 15 Combine like terms: 4 + 15 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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