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Simplifying 6 + 2(x + -9) = 3(2 + -1x) Reorder the terms: 6 + 2(-9 + x) = 3(2 + -1x) 6 + (-9 * 2 + x * 2) = 3(2 + -1x) 6 + (-18 + 2x) = 3(2 + -1x) Combine like terms: 6 + -18 = -12 -12 + 2x = 3(2 + -1x) -12 + 2x = (2 * 3 + -1x * 3) -12 + 2x = (6 + -3x) Solving -12 + 2x = 6 + -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. -12 + 2x + 3x = 6 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 6 + 0 -12 + 5x = 6 Add '12' to each side of the equation. -12 + 12 + 5x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 6 + 12 5x = 6 + 12 Combine like terms: 6 + 12 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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