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Simplifying 4(2x + -1) = 5(x + 2) + -2 Reorder the terms: 4(-1 + 2x) = 5(x + 2) + -2 (-1 * 4 + 2x * 4) = 5(x + 2) + -2 (-4 + 8x) = 5(x + 2) + -2 Reorder the terms: -4 + 8x = 5(2 + x) + -2 -4 + 8x = (2 * 5 + x * 5) + -2 -4 + 8x = (10 + 5x) + -2 Reorder the terms: -4 + 8x = 10 + -2 + 5x Combine like terms: 10 + -2 = 8 -4 + 8x = 8 + 5x Solving -4 + 8x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = 8 + 0 -4 + 3x = 8 Add '4' to each side of the equation. -4 + 4 + 3x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 8 + 4 3x = 8 + 4 Combine like terms: 8 + 4 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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