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Simplifying 2(5 + -8x) + -5 = -5(2x + 1) (5 * 2 + -8x * 2) + -5 = -5(2x + 1) (10 + -16x) + -5 = -5(2x + 1) Reorder the terms: 10 + -5 + -16x = -5(2x + 1) Combine like terms: 10 + -5 = 5 5 + -16x = -5(2x + 1) Reorder the terms: 5 + -16x = -5(1 + 2x) 5 + -16x = (1 * -5 + 2x * -5) 5 + -16x = (-5 + -10x) Solving 5 + -16x = -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. 5 + -16x + 10x = -5 + -10x + 10x Combine like terms: -16x + 10x = -6x 5 + -6x = -5 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + -6x = -5 + 0 5 + -6x = -5 Add '-5' to each side of the equation. 5 + -5 + -6x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -5 + -5 -6x = -5 + -5 Combine like terms: -5 + -5 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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