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Simplifying 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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