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Simplifying 4(2x + -1) = 2(x + 4) Reorder the terms: 4(-1 + 2x) = 2(x + 4) (-1 * 4 + 2x * 4) = 2(x + 4) (-4 + 8x) = 2(x + 4) Reorder the terms: -4 + 8x = 2(4 + x) -4 + 8x = (4 * 2 + x * 2) -4 + 8x = (8 + 2x) Solving -4 + 8x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 8x + -2x = 8 + 2x + -2x Combine like terms: 8x + -2x = 6x -4 + 6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 6x = 8 + 0 -4 + 6x = 8 Add '4' to each side of the equation. -4 + 4 + 6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 8 + 4 6x = 8 + 4 Combine like terms: 8 + 4 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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