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Simplifying 8(5 + -1x) = 4(x + 1) (5 * 8 + -1x * 8) = 4(x + 1) (40 + -8x) = 4(x + 1) Reorder the terms: 40 + -8x = 4(1 + x) 40 + -8x = (1 * 4 + x * 4) 40 + -8x = (4 + 4x) Solving 40 + -8x = 4 + 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 = 4 + 4x + -4x Combine like terms: -8x + -4x = -12x 40 + -12x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -12x = 4 + 0 40 + -12x = 4 Add '-40' to each side of the equation. 40 + -40 + -12x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -12x = 4 + -40 -12x = 4 + -40 Combine like terms: 4 + -40 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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