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Simplifying -2(5 + -3x) = 8(2x + 5) (5 * -2 + -3x * -2) = 8(2x + 5) (-10 + 6x) = 8(2x + 5) Reorder the terms: -10 + 6x = 8(5 + 2x) -10 + 6x = (5 * 8 + 2x * 8) -10 + 6x = (40 + 16x) Solving -10 + 6x = 40 + 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 + 6x + -16x = 40 + 16x + -16x Combine like terms: 6x + -16x = -10x -10 + -10x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -10x = 40 + 0 -10 + -10x = 40 Add '10' to each side of the equation. -10 + 10 + -10x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 40 + 10 -10x = 40 + 10 Combine like terms: 40 + 10 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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