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Simplifying 5(-2x + 6) = 5(8x + 3) Reorder the terms: 5(6 + -2x) = 5(8x + 3) (6 * 5 + -2x * 5) = 5(8x + 3) (30 + -10x) = 5(8x + 3) Reorder the terms: 30 + -10x = 5(3 + 8x) 30 + -10x = (3 * 5 + 8x * 5) 30 + -10x = (15 + 40x) Solving 30 + -10x = 15 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + -10x + -40x = 15 + 40x + -40x Combine like terms: -10x + -40x = -50x 30 + -50x = 15 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -50x = 15 + 0 30 + -50x = 15 Add '-30' to each side of the equation. 30 + -30 + -50x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -50x = 15 + -30 -50x = 15 + -30 Combine like terms: 15 + -30 = -15 -50x = -15 Divide each side by '-50'. x = 0.3 Simplifying x = 0.3
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