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Simplifying 8(x + 1) + -1 = 3 + -2(4 + -2x) Reorder the terms: 8(1 + x) + -1 = 3 + -2(4 + -2x) (1 * 8 + x * 8) + -1 = 3 + -2(4 + -2x) (8 + 8x) + -1 = 3 + -2(4 + -2x) Reorder the terms: 8 + -1 + 8x = 3 + -2(4 + -2x) Combine like terms: 8 + -1 = 7 7 + 8x = 3 + -2(4 + -2x) 7 + 8x = 3 + (4 * -2 + -2x * -2) 7 + 8x = 3 + (-8 + 4x) Combine like terms: 3 + -8 = -5 7 + 8x = -5 + 4x Solving 7 + 8x = -5 + 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. 7 + 8x + -4x = -5 + 4x + -4x Combine like terms: 8x + -4x = 4x 7 + 4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 4x = -5 + 0 7 + 4x = -5 Add '-7' to each side of the equation. 7 + -7 + 4x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -5 + -7 4x = -5 + -7 Combine like terms: -5 + -7 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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