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Simplifying (5 + -3x) + -1(-4x + -6) = (8x + 11) + -1(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + -6) = (8x + 11) + -1(3x + -6) Reorder the terms: 5 + -3x + -1(-6 + -4x) = (8x + 11) + -1(3x + -6) 5 + -3x + (-6 * -1 + -4x * -1) = (8x + 11) + -1(3x + -6) 5 + -3x + (6 + 4x) = (8x + 11) + -1(3x + -6) Reorder the terms: 5 + 6 + -3x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: 5 + 6 = 11 11 + -3x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: -3x + 4x = 1x 11 + 1x = (8x + 11) + -1(3x + -6) Reorder the terms: 11 + 1x = (11 + 8x) + -1(3x + -6) Remove parenthesis around (11 + 8x) 11 + 1x = 11 + 8x + -1(3x + -6) Reorder the terms: 11 + 1x = 11 + 8x + -1(-6 + 3x) 11 + 1x = 11 + 8x + (-6 * -1 + 3x * -1) 11 + 1x = 11 + 8x + (6 + -3x) Reorder the terms: 11 + 1x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 11 + 1x = 17 + 8x + -3x Combine like terms: 8x + -3x = 5x 11 + 1x = 17 + 5x Solving 11 + 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. 11 + 1x + -5x = 17 + 5x + -5x Combine like terms: 1x + -5x = -4x 11 + -4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -4x = 17 + 0 11 + -4x = 17 Add '-11' to each side of the equation. 11 + -11 + -4x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 17 + -11 -4x = 17 + -11 Combine like terms: 17 + -11 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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