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Simplifying -3x + -9(6 + 5x) = -2(2 + -1x) -3x + (6 * -9 + 5x * -9) = -2(2 + -1x) -3x + (-54 + -45x) = -2(2 + -1x) Reorder the terms: -54 + -3x + -45x = -2(2 + -1x) Combine like terms: -3x + -45x = -48x -54 + -48x = -2(2 + -1x) -54 + -48x = (2 * -2 + -1x * -2) -54 + -48x = (-4 + 2x) Solving -54 + -48x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + -48x + -2x = -4 + 2x + -2x Combine like terms: -48x + -2x = -50x -54 + -50x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + -50x = -4 + 0 -54 + -50x = -4 Add '54' to each side of the equation. -54 + 54 + -50x = -4 + 54 Combine like terms: -54 + 54 = 0 0 + -50x = -4 + 54 -50x = -4 + 54 Combine like terms: -4 + 54 = 50 -50x = 50 Divide each side by '-50'. x = -1 Simplifying x = -1
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