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Simplifying (5 + -3x) + -1(-4x + 6) = (8x + 1) + -1(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) = (8x + 1) + -1(3x + -6) Reorder the terms: 5 + -3x + -1(6 + -4x) = (8x + 1) + -1(3x + -6) 5 + -3x + (6 * -1 + -4x * -1) = (8x + 1) + -1(3x + -6) 5 + -3x + (-6 + 4x) = (8x + 1) + -1(3x + -6) Reorder the terms: 5 + -6 + -3x + 4x = (8x + 1) + -1(3x + -6) Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = (8x + 1) + -1(3x + -6) Combine like terms: -3x + 4x = 1x -1 + 1x = (8x + 1) + -1(3x + -6) Reorder the terms: -1 + 1x = (1 + 8x) + -1(3x + -6) Remove parenthesis around (1 + 8x) -1 + 1x = 1 + 8x + -1(3x + -6) Reorder the terms: -1 + 1x = 1 + 8x + -1(-6 + 3x) -1 + 1x = 1 + 8x + (-6 * -1 + 3x * -1) -1 + 1x = 1 + 8x + (6 + -3x) Reorder the terms: -1 + 1x = 1 + 6 + 8x + -3x Combine like terms: 1 + 6 = 7 -1 + 1x = 7 + 8x + -3x Combine like terms: 8x + -3x = 5x -1 + 1x = 7 + 5x Solving -1 + 1x = 7 + 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. -1 + 1x + -5x = 7 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 7 + 0 -1 + -4x = 7 Add '1' to each side of the equation. -1 + 1 + -4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 7 + 1 -4x = 7 + 1 Combine like terms: 7 + 1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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