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Simplifying (5 + -3x) + -1(-4x + 6) = (8x + 11) + -3(x + -2) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) = (8x + 11) + -3(x + -2) Reorder the terms: 5 + -3x + -1(6 + -4x) = (8x + 11) + -3(x + -2) 5 + -3x + (6 * -1 + -4x * -1) = (8x + 11) + -3(x + -2) 5 + -3x + (-6 + 4x) = (8x + 11) + -3(x + -2) Reorder the terms: 5 + -6 + -3x + 4x = (8x + 11) + -3(x + -2) Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = (8x + 11) + -3(x + -2) Combine like terms: -3x + 4x = 1x -1 + 1x = (8x + 11) + -3(x + -2) Reorder the terms: -1 + 1x = (11 + 8x) + -3(x + -2) Remove parenthesis around (11 + 8x) -1 + 1x = 11 + 8x + -3(x + -2) Reorder the terms: -1 + 1x = 11 + 8x + -3(-2 + x) -1 + 1x = 11 + 8x + (-2 * -3 + x * -3) -1 + 1x = 11 + 8x + (6 + -3x) Reorder the terms: -1 + 1x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 -1 + 1x = 17 + 8x + -3x Combine like terms: 8x + -3x = 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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