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Simplifying 5(-2x + 8) = 5(6x + 4) Reorder the terms: 5(8 + -2x) = 5(6x + 4) (8 * 5 + -2x * 5) = 5(6x + 4) (40 + -10x) = 5(6x + 4) Reorder the terms: 40 + -10x = 5(4 + 6x) 40 + -10x = (4 * 5 + 6x * 5) 40 + -10x = (20 + 30x) Solving 40 + -10x = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 40 + -10x + -30x = 20 + 30x + -30x Combine like terms: -10x + -30x = -40x 40 + -40x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -40x = 20 + 0 40 + -40x = 20 Add '-40' to each side of the equation. 40 + -40 + -40x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -40x = 20 + -40 -40x = 20 + -40 Combine like terms: 20 + -40 = -20 -40x = -20 Divide each side by '-40'. x = 0.5 Simplifying x = 0.5
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