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Simplifying (5x + -3) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) Reorder the terms: (-3 + 5x) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) Remove parenthesis around (-3 + 5x) -3 + 5x + -1(-4x + 6) = (8x + 11) + -1(3x + -6) Reorder the terms: -3 + 5x + -1(6 + -4x) = (8x + 11) + -1(3x + -6) -3 + 5x + (6 * -1 + -4x * -1) = (8x + 11) + -1(3x + -6) -3 + 5x + (-6 + 4x) = (8x + 11) + -1(3x + -6) Reorder the terms: -3 + -6 + 5x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: -3 + -6 = -9 -9 + 5x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: 5x + 4x = 9x -9 + 9x = (8x + 11) + -1(3x + -6) Reorder the terms: -9 + 9x = (11 + 8x) + -1(3x + -6) Remove parenthesis around (11 + 8x) -9 + 9x = 11 + 8x + -1(3x + -6) Reorder the terms: -9 + 9x = 11 + 8x + -1(-6 + 3x) -9 + 9x = 11 + 8x + (-6 * -1 + 3x * -1) -9 + 9x = 11 + 8x + (6 + -3x) Reorder the terms: -9 + 9x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 -9 + 9x = 17 + 8x + -3x Combine like terms: 8x + -3x = 5x -9 + 9x = 17 + 5x Solving -9 + 9x = 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. -9 + 9x + -5x = 17 + 5x + -5x Combine like terms: 9x + -5x = 4x -9 + 4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 4x = 17 + 0 -9 + 4x = 17 Add '9' to each side of the equation. -9 + 9 + 4x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 17 + 9 4x = 17 + 9 Combine like terms: 17 + 9 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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