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Simplifying (5 + -3x) + -1(-4x + 6) = -1(3x + -6) + (8x + 11) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) = -1(3x + -6) + (8x + 11) Reorder the terms: 5 + -3x + -1(6 + -4x) = -1(3x + -6) + (8x + 11) 5 + -3x + (6 * -1 + -4x * -1) = -1(3x + -6) + (8x + 11) 5 + -3x + (-6 + 4x) = -1(3x + -6) + (8x + 11) Reorder the terms: 5 + -6 + -3x + 4x = -1(3x + -6) + (8x + 11) Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = -1(3x + -6) + (8x + 11) Combine like terms: -3x + 4x = 1x -1 + 1x = -1(3x + -6) + (8x + 11) Reorder the terms: -1 + 1x = -1(-6 + 3x) + (8x + 11) -1 + 1x = (-6 * -1 + 3x * -1) + (8x + 11) -1 + 1x = (6 + -3x) + (8x + 11) Reorder the terms: -1 + 1x = 6 + -3x + (11 + 8x) Remove parenthesis around (11 + 8x) -1 + 1x = 6 + -3x + 11 + 8x Reorder the terms: -1 + 1x = 6 + 11 + -3x + 8x Combine like terms: 6 + 11 = 17 -1 + 1x = 17 + -3x + 8x Combine like terms: -3x + 8x = 5x -1 + 1x = 17 + 5x Solving -1 + 1x = 17 + 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 = 17 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 17 + 0 -1 + -4x = 17 Add '1' to each side of the equation. -1 + 1 + -4x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 17 + 1 -4x = 17 + 1 Combine like terms: 17 + 1 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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