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Simplifying -1(2x + 1) + -1(3 + 4x) + 5x = 3x + -8 Reorder the terms: -1(1 + 2x) + -1(3 + 4x) + 5x = 3x + -8 (1 * -1 + 2x * -1) + -1(3 + 4x) + 5x = 3x + -8 (-1 + -2x) + -1(3 + 4x) + 5x = 3x + -8 -1 + -2x + (3 * -1 + 4x * -1) + 5x = 3x + -8 -1 + -2x + (-3 + -4x) + 5x = 3x + -8 Reorder the terms: -1 + -3 + -2x + -4x + 5x = 3x + -8 Combine like terms: -1 + -3 = -4 -4 + -2x + -4x + 5x = 3x + -8 Combine like terms: -2x + -4x = -6x -4 + -6x + 5x = 3x + -8 Combine like terms: -6x + 5x = -1x -4 + -1x = 3x + -8 Reorder the terms: -4 + -1x = -8 + 3x Solving -4 + -1x = -8 + 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 + -1x + -3x = -8 + 3x + -3x Combine like terms: -1x + -3x = -4x -4 + -4x = -8 + 3x + -3x Combine like terms: 3x + -3x = 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 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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