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Simplifying 4(2x + -1) + -5x = 2 + 4(3 + -1x) Reorder the terms: 4(-1 + 2x) + -5x = 2 + 4(3 + -1x) (-1 * 4 + 2x * 4) + -5x = 2 + 4(3 + -1x) (-4 + 8x) + -5x = 2 + 4(3 + -1x) Combine like terms: 8x + -5x = 3x -4 + 3x = 2 + 4(3 + -1x) -4 + 3x = 2 + (3 * 4 + -1x * 4) -4 + 3x = 2 + (12 + -4x) Combine like terms: 2 + 12 = 14 -4 + 3x = 14 + -4x Solving -4 + 3x = 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 + 3x + 4x = 14 + -4x + 4x Combine like terms: 3x + 4x = 7x -4 + 7x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 7x = 14 + 0 -4 + 7x = 14 Add '4' to each side of the equation. -4 + 4 + 7x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 14 + 4 7x = 14 + 4 Combine like terms: 14 + 4 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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