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Simplifying 9(1 + -2x) = 5(3x + -6) (1 * 9 + -2x * 9) = 5(3x + -6) (9 + -18x) = 5(3x + -6) Reorder the terms: 9 + -18x = 5(-6 + 3x) 9 + -18x = (-6 * 5 + 3x * 5) 9 + -18x = (-30 + 15x) Solving 9 + -18x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + -18x + -15x = -30 + 15x + -15x Combine like terms: -18x + -15x = -33x 9 + -33x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -33x = -30 + 0 9 + -33x = -30 Add '-9' to each side of the equation. 9 + -9 + -33x = -30 + -9 Combine like terms: 9 + -9 = 0 0 + -33x = -30 + -9 -33x = -30 + -9 Combine like terms: -30 + -9 = -39 -33x = -39 Divide each side by '-33'. x = 1.181818182 Simplifying x = 1.181818182
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