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Simplifying 5(3 + -2x) + 8x = 5(2x + -1) (3 * 5 + -2x * 5) + 8x = 5(2x + -1) (15 + -10x) + 8x = 5(2x + -1) Combine like terms: -10x + 8x = -2x 15 + -2x = 5(2x + -1) Reorder the terms: 15 + -2x = 5(-1 + 2x) 15 + -2x = (-1 * 5 + 2x * 5) 15 + -2x = (-5 + 10x) Solving 15 + -2x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + -2x + -10x = -5 + 10x + -10x Combine like terms: -2x + -10x = -12x 15 + -12x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -12x = -5 + 0 15 + -12x = -5 Add '-15' to each side of the equation. 15 + -15 + -12x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -5 + -15 -12x = -5 + -15 Combine like terms: -5 + -15 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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