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Simplifying 4 + 3(4x + -6) = 9 + -5(2x + 1) Reorder the terms: 4 + 3(-6 + 4x) = 9 + -5(2x + 1) 4 + (-6 * 3 + 4x * 3) = 9 + -5(2x + 1) 4 + (-18 + 12x) = 9 + -5(2x + 1) Combine like terms: 4 + -18 = -14 -14 + 12x = 9 + -5(2x + 1) Reorder the terms: -14 + 12x = 9 + -5(1 + 2x) -14 + 12x = 9 + (1 * -5 + 2x * -5) -14 + 12x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -14 + 12x = 4 + -10x Solving -14 + 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. -14 + 12x + 10x = 4 + -10x + 10x Combine like terms: 12x + 10x = 22x -14 + 22x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 22x = 4 + 0 -14 + 22x = 4 Add '14' to each side of the equation. -14 + 14 + 22x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 22x = 4 + 14 22x = 4 + 14 Combine like terms: 4 + 14 = 18 22x = 18 Divide each side by '22'. x = 0.8181818182 Simplifying x = 0.8181818182
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