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Simplifying 2(x + 6) = 3(5 + -3x) Reorder the terms: 2(6 + x) = 3(5 + -3x) (6 * 2 + x * 2) = 3(5 + -3x) (12 + 2x) = 3(5 + -3x) 12 + 2x = (5 * 3 + -3x * 3) 12 + 2x = (15 + -9x) Solving 12 + 2x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 2x + 9x = 15 + -9x + 9x Combine like terms: 2x + 9x = 11x 12 + 11x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 11x = 15 + 0 12 + 11x = 15 Add '-12' to each side of the equation. 12 + -12 + 11x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 15 + -12 11x = 15 + -12 Combine like terms: 15 + -12 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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