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Simplifying -3(x + -6) + -2(3x + -4) = -55 Reorder the terms: -3(-6 + x) + -2(3x + -4) = -55 (-6 * -3 + x * -3) + -2(3x + -4) = -55 (18 + -3x) + -2(3x + -4) = -55 Reorder the terms: 18 + -3x + -2(-4 + 3x) = -55 18 + -3x + (-4 * -2 + 3x * -2) = -55 18 + -3x + (8 + -6x) = -55 Reorder the terms: 18 + 8 + -3x + -6x = -55 Combine like terms: 18 + 8 = 26 26 + -3x + -6x = -55 Combine like terms: -3x + -6x = -9x 26 + -9x = -55 Solving 26 + -9x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -9x = -55 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = -55 + -26 -9x = -55 + -26 Combine like terms: -55 + -26 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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