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Simplifying 2(3x + 5) = -3(2x + -5) Reorder the terms: 2(5 + 3x) = -3(2x + -5) (5 * 2 + 3x * 2) = -3(2x + -5) (10 + 6x) = -3(2x + -5) Reorder the terms: 10 + 6x = -3(-5 + 2x) 10 + 6x = (-5 * -3 + 2x * -3) 10 + 6x = (15 + -6x) Solving 10 + 6x = 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. 10 + 6x + 6x = 15 + -6x + 6x Combine like terms: 6x + 6x = 12x 10 + 12x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 12x = 15 + 0 10 + 12x = 15 Add '-10' to each side of the equation. 10 + -10 + 12x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 15 + -10 12x = 15 + -10 Combine like terms: 15 + -10 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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