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Simplifying 3(2x + 5) = 2(4 + -3x) Reorder the terms: 3(5 + 2x) = 2(4 + -3x) (5 * 3 + 2x * 3) = 2(4 + -3x) (15 + 6x) = 2(4 + -3x) 15 + 6x = (4 * 2 + -3x * 2) 15 + 6x = (8 + -6x) Solving 15 + 6x = 8 + -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 + 6x + 6x = 8 + -6x + 6x Combine like terms: 6x + 6x = 12x 15 + 12x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 12x = 8 + 0 15 + 12x = 8 Add '-15' to each side of the equation. 15 + -15 + 12x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 8 + -15 12x = 8 + -15 Combine like terms: 8 + -15 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333
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