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Simplifying 4(2x + -1) = 2(2x + 7) Reorder the terms: 4(-1 + 2x) = 2(2x + 7) (-1 * 4 + 2x * 4) = 2(2x + 7) (-4 + 8x) = 2(2x + 7) Reorder the terms: -4 + 8x = 2(7 + 2x) -4 + 8x = (7 * 2 + 2x * 2) -4 + 8x = (14 + 4x) Solving -4 + 8x = 14 + 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. -4 + 8x + -4x = 14 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 14 + 0 -4 + 4x = 14 Add '4' to each side of the equation. -4 + 4 + 4x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 14 + 4 4x = 14 + 4 Combine like terms: 14 + 4 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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