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Simplifying 6(9 + -6x) = -2(x + 3) (9 * 6 + -6x * 6) = -2(x + 3) (54 + -36x) = -2(x + 3) Reorder the terms: 54 + -36x = -2(3 + x) 54 + -36x = (3 * -2 + x * -2) 54 + -36x = (-6 + -2x) Solving 54 + -36x = -6 + -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 + -36x + 2x = -6 + -2x + 2x Combine like terms: -36x + 2x = -34x 54 + -34x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + -34x = -6 + 0 54 + -34x = -6 Add '-54' to each side of the equation. 54 + -54 + -34x = -6 + -54 Combine like terms: 54 + -54 = 0 0 + -34x = -6 + -54 -34x = -6 + -54 Combine like terms: -6 + -54 = -60 -34x = -60 Divide each side by '-34'. x = 1.764705882 Simplifying x = 1.764705882
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