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Simplifying 3(5 + -9x) = 7 + 6x (5 * 3 + -9x * 3) = 7 + 6x (15 + -27x) = 7 + 6x Solving 15 + -27x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + -27x + -6x = 7 + 6x + -6x Combine like terms: -27x + -6x = -33x 15 + -33x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -33x = 7 + 0 15 + -33x = 7 Add '-15' to each side of the equation. 15 + -15 + -33x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -33x = 7 + -15 -33x = 7 + -15 Combine like terms: 7 + -15 = -8 -33x = -8 Divide each side by '-33'. x = 0.2424242424 Simplifying x = 0.2424242424
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