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Simplifying 4(x + -1) = 2(4x + 8) Reorder the terms: 4(-1 + x) = 2(4x + 8) (-1 * 4 + x * 4) = 2(4x + 8) (-4 + 4x) = 2(4x + 8) Reorder the terms: -4 + 4x = 2(8 + 4x) -4 + 4x = (8 * 2 + 4x * 2) -4 + 4x = (16 + 8x) Solving -4 + 4x = 16 + 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 = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x -4 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -4x = 16 + 0 -4 + -4x = 16 Add '4' to each side of the equation. -4 + 4 + -4x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 16 + 4 -4x = 16 + 4 Combine like terms: 16 + 4 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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