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Simplifying 8(5 + x) = 4(2 + -1x) (5 * 8 + x * 8) = 4(2 + -1x) (40 + 8x) = 4(2 + -1x) 40 + 8x = (2 * 4 + -1x * 4) 40 + 8x = (8 + -4x) Solving 40 + 8x = 8 + -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. 40 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x 40 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 12x = 8 + 0 40 + 12x = 8 Add '-40' to each side of the equation. 40 + -40 + 12x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 8 + -40 12x = 8 + -40 Combine like terms: 8 + -40 = -32 12x = -32 Divide each side by '12'. x = -2.666666667 Simplifying x = -2.666666667
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