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Simplifying 4(x + -1) = 4(-2x + 8) Reorder the terms: 4(-1 + x) = 4(-2x + 8) (-1 * 4 + x * 4) = 4(-2x + 8) (-4 + 4x) = 4(-2x + 8) Reorder the terms: -4 + 4x = 4(8 + -2x) -4 + 4x = (8 * 4 + -2x * 4) -4 + 4x = (32 + -8x) Solving -4 + 4x = 32 + -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 = 32 + -8x + 8x Combine like terms: 4x + 8x = 12x -4 + 12x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 12x = 32 + 0 -4 + 12x = 32 Add '4' to each side of the equation. -4 + 4 + 12x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 32 + 4 12x = 32 + 4 Combine like terms: 32 + 4 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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