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Simplifying 3(2 + -3x) = 3(2x + 5) (2 * 3 + -3x * 3) = 3(2x + 5) (6 + -9x) = 3(2x + 5) Reorder the terms: 6 + -9x = 3(5 + 2x) 6 + -9x = (5 * 3 + 2x * 3) 6 + -9x = (15 + 6x) Solving 6 + -9x = 15 + 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. 6 + -9x + -6x = 15 + 6x + -6x Combine like terms: -9x + -6x = -15x 6 + -15x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -15x = 15 + 0 6 + -15x = 15 Add '-6' to each side of the equation. 6 + -6 + -15x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 15 + -6 -15x = 15 + -6 Combine like terms: 15 + -6 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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