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Simplifying -2(5 + -2x) = 8(2x + 1) (5 * -2 + -2x * -2) = 8(2x + 1) (-10 + 4x) = 8(2x + 1) Reorder the terms: -10 + 4x = 8(1 + 2x) -10 + 4x = (1 * 8 + 2x * 8) -10 + 4x = (8 + 16x) Solving -10 + 4x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 4x + -16x = 8 + 16x + -16x Combine like terms: 4x + -16x = -12x -10 + -12x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -12x = 8 + 0 -10 + -12x = 8 Add '10' to each side of the equation. -10 + 10 + -12x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 8 + 10 -12x = 8 + 10 Combine like terms: 8 + 10 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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