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Simplifying 8(2 + -5x) = 5(x + -4) + -1x (2 * 8 + -5x * 8) = 5(x + -4) + -1x (16 + -40x) = 5(x + -4) + -1x Reorder the terms: 16 + -40x = 5(-4 + x) + -1x 16 + -40x = (-4 * 5 + x * 5) + -1x 16 + -40x = (-20 + 5x) + -1x Combine like terms: 5x + -1x = 4x 16 + -40x = -20 + 4x Solving 16 + -40x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -40x + -4x = -20 + 4x + -4x Combine like terms: -40x + -4x = -44x 16 + -44x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -44x = -20 + 0 16 + -44x = -20 Add '-16' to each side of the equation. 16 + -16 + -44x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -44x = -20 + -16 -44x = -20 + -16 Combine like terms: -20 + -16 = -36 -44x = -36 Divide each side by '-44'. x = 0.8181818182 Simplifying x = 0.8181818182
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