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Simplifying 8(5 + -4x) = 6(2x + -1) (5 * 8 + -4x * 8) = 6(2x + -1) (40 + -32x) = 6(2x + -1) Reorder the terms: 40 + -32x = 6(-1 + 2x) 40 + -32x = (-1 * 6 + 2x * 6) 40 + -32x = (-6 + 12x) Solving 40 + -32x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + -32x + -12x = -6 + 12x + -12x Combine like terms: -32x + -12x = -44x 40 + -44x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -44x = -6 + 0 40 + -44x = -6 Add '-40' to each side of the equation. 40 + -40 + -44x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -44x = -6 + -40 -44x = -6 + -40 Combine like terms: -6 + -40 = -46 -44x = -46 Divide each side by '-44'. x = 1.045454545 Simplifying x = 1.045454545
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