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Simplifying 5(2x + 8) = -2(5x + 8) Reorder the terms: 5(8 + 2x) = -2(5x + 8) (8 * 5 + 2x * 5) = -2(5x + 8) (40 + 10x) = -2(5x + 8) Reorder the terms: 40 + 10x = -2(8 + 5x) 40 + 10x = (8 * -2 + 5x * -2) 40 + 10x = (-16 + -10x) Solving 40 + 10x = -16 + -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. 40 + 10x + 10x = -16 + -10x + 10x Combine like terms: 10x + 10x = 20x 40 + 20x = -16 + -10x + 10x Combine like terms: -10x + 10x = 0 40 + 20x = -16 + 0 40 + 20x = -16 Add '-40' to each side of the equation. 40 + -40 + 20x = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 20x = -16 + -40 20x = -16 + -40 Combine like terms: -16 + -40 = -56 20x = -56 Divide each side by '20'. x = -2.8 Simplifying x = -2.8
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