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Simplifying 3x + (-1x + 1) + -1x + -5 = 8 + -1(2x + -6 + x) Reorder the terms: 3x + (1 + -1x) + -1x + -5 = 8 + -1(2x + -6 + x) Remove parenthesis around (1 + -1x) 3x + 1 + -1x + -1x + -5 = 8 + -1(2x + -6 + x) Reorder the terms: 1 + -5 + 3x + -1x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 1 + -5 = -4 -4 + 3x + -1x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 3x + -1x = 2x -4 + 2x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 2x + -1x = 1x -4 + 1x = 8 + -1(2x + -6 + x) Reorder the terms: -4 + 1x = 8 + -1(-6 + 2x + x) Combine like terms: 2x + x = 3x -4 + 1x = 8 + -1(-6 + 3x) -4 + 1x = 8 + (-6 * -1 + 3x * -1) -4 + 1x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 -4 + 1x = 14 + -3x Solving -4 + 1x = 14 + -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 = 14 + -3x + 3x Combine like terms: 1x + 3x = 4x -4 + 4x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 4x = 14 + 0 -4 + 4x = 14 Add '4' to each side of the equation. -4 + 4 + 4x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 14 + 4 4x = 14 + 4 Combine like terms: 14 + 4 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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