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Simplifying -8(4 + -5x) = -2(6x + 8) (4 * -8 + -5x * -8) = -2(6x + 8) (-32 + 40x) = -2(6x + 8) Reorder the terms: -32 + 40x = -2(8 + 6x) -32 + 40x = (8 * -2 + 6x * -2) -32 + 40x = (-16 + -12x) Solving -32 + 40x = -16 + -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. -32 + 40x + 12x = -16 + -12x + 12x Combine like terms: 40x + 12x = 52x -32 + 52x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 -32 + 52x = -16 + 0 -32 + 52x = -16 Add '32' to each side of the equation. -32 + 32 + 52x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 52x = -16 + 32 52x = -16 + 32 Combine like terms: -16 + 32 = 16 52x = 16 Divide each side by '52'. x = 0.3076923077 Simplifying x = 0.3076923077
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