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Simplifying 4(2x + -1) = 2(2x + 3) + 2 Reorder the terms: 4(-1 + 2x) = 2(2x + 3) + 2 (-1 * 4 + 2x * 4) = 2(2x + 3) + 2 (-4 + 8x) = 2(2x + 3) + 2 Reorder the terms: -4 + 8x = 2(3 + 2x) + 2 -4 + 8x = (3 * 2 + 2x * 2) + 2 -4 + 8x = (6 + 4x) + 2 Reorder the terms: -4 + 8x = 6 + 2 + 4x Combine like terms: 6 + 2 = 8 -4 + 8x = 8 + 4x Solving -4 + 8x = 8 + 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 = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 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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