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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 = -10 -10 + -3x + -6x = -55 Combine like terms: -3x + -6x = -9x -10 + -9x = -55 Solving -10 + -9x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = -55 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -55 + 10 -9x = -55 + 10 Combine like terms: -55 + 10 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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