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