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Simplifying 8(-5x + -1) = 2(4x + 5) Reorder the terms: 8(-1 + -5x) = 2(4x + 5) (-1 * 8 + -5x * 8) = 2(4x + 5) (-8 + -40x) = 2(4x + 5) Reorder the terms: -8 + -40x = 2(5 + 4x) -8 + -40x = (5 * 2 + 4x * 2) -8 + -40x = (10 + 8x) Solving -8 + -40x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + -40x + -8x = 10 + 8x + -8x Combine like terms: -40x + -8x = -48x -8 + -48x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -48x = 10 + 0 -8 + -48x = 10 Add '8' to each side of the equation. -8 + 8 + -48x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -48x = 10 + 8 -48x = 10 + 8 Combine like terms: 10 + 8 = 18 -48x = 18 Divide each side by '-48'. x = -0.375 Simplifying x = -0.375
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