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Simplifying 8(x + 1) = 4x + -1(8) Reorder the terms: 8(1 + x) = 4x + -1(8) (1 * 8 + x * 8) = 4x + -1(8) (8 + 8x) = 4x + -1(8) Multiply -1 * 8 8 + 8x = 4x + -8 Reorder the terms: 8 + 8x = -8 + 4x Solving 8 + 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. 8 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = -8 + 0 8 + 4x = -8 Add '-8' to each side of the equation. 8 + -8 + 4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -8 + -8 4x = -8 + -8 Combine like terms: -8 + -8 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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