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Simplifying (5 + -3x) + -1(-4x + 6) = (8x + 11) + -3(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) = (8x + 11) + -3(3x + -6) Reorder the terms: 5 + -3x + -1(6 + -4x) = (8x + 11) + -3(3x + -6) 5 + -3x + (6 * -1 + -4x * -1) = (8x + 11) + -3(3x + -6) 5 + -3x + (-6 + 4x) = (8x + 11) + -3(3x + -6) Reorder the terms: 5 + -6 + -3x + 4x = (8x + 11) + -3(3x + -6) Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = (8x + 11) + -3(3x + -6) Combine like terms: -3x + 4x = 1x -1 + 1x = (8x + 11) + -3(3x + -6) Reorder the terms: -1 + 1x = (11 + 8x) + -3(3x + -6) Remove parenthesis around (11 + 8x) -1 + 1x = 11 + 8x + -3(3x + -6) Reorder the terms: -1 + 1x = 11 + 8x + -3(-6 + 3x) -1 + 1x = 11 + 8x + (-6 * -3 + 3x * -3) -1 + 1x = 11 + 8x + (18 + -9x) Reorder the terms: -1 + 1x = 11 + 18 + 8x + -9x Combine like terms: 11 + 18 = 29 -1 + 1x = 29 + 8x + -9x Combine like terms: 8x + -9x = -1x -1 + 1x = 29 + -1x Solving -1 + 1x = 29 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 1x + x = 29 + -1x + x Combine like terms: 1x + x = 2x -1 + 2x = 29 + -1x + x Combine like terms: -1x + x = 0 -1 + 2x = 29 + 0 -1 + 2x = 29 Add '1' to each side of the equation. -1 + 1 + 2x = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 29 + 1 2x = 29 + 1 Combine like terms: 29 + 1 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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