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Simplifying 4(x + -1) = 8(x + 1) Reorder the terms: 4(-1 + x) = 8(x + 1) (-1 * 4 + x * 4) = 8(x + 1) (-4 + 4x) = 8(x + 1) Reorder the terms: -4 + 4x = 8(1 + x) -4 + 4x = (1 * 8 + x * 8) -4 + 4x = (8 + 8x) Solving -4 + 4x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 4x + -8x = 8 + 8x + -8x Combine like terms: 4x + -8x = -4x -4 + -4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -4x = 8 + 0 -4 + -4x = 8 Add '4' to each side of the equation. -4 + 4 + -4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 8 + 4 -4x = 8 + 4 Combine like terms: 8 + 4 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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