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Simplifying 2(2 + -3x) = 3(3x + 5) (2 * 2 + -3x * 2) = 3(3x + 5) (4 + -6x) = 3(3x + 5) Reorder the terms: 4 + -6x = 3(5 + 3x) 4 + -6x = (5 * 3 + 3x * 3) 4 + -6x = (15 + 9x) Solving 4 + -6x = 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. 4 + -6x + -9x = 15 + 9x + -9x Combine like terms: -6x + -9x = -15x 4 + -15x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -15x = 15 + 0 4 + -15x = 15 Add '-4' to each side of the equation. 4 + -4 + -15x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = 15 + -4 -15x = 15 + -4 Combine like terms: 15 + -4 = 11 -15x = 11 Divide each side by '-15'. x = -0.7333333333 Simplifying x = -0.7333333333
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