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Simplifying 3(x + -6) + -4(3x + -5) = 9 Reorder the terms: 3(-6 + x) + -4(3x + -5) = 9 (-6 * 3 + x * 3) + -4(3x + -5) = 9 (-18 + 3x) + -4(3x + -5) = 9 Reorder the terms: -18 + 3x + -4(-5 + 3x) = 9 -18 + 3x + (-5 * -4 + 3x * -4) = 9 -18 + 3x + (20 + -12x) = 9 Reorder the terms: -18 + 20 + 3x + -12x = 9 Combine like terms: -18 + 20 = 2 2 + 3x + -12x = 9 Combine like terms: 3x + -12x = -9x 2 + -9x = 9 Solving 2 + -9x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 9 + -2 -9x = 9 + -2 Combine like terms: 9 + -2 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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