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Simplifying (5 + -3x) + -1(-3x + 6) = 8(x + 11) + -1(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-3x + 6) = 8(x + 11) + -1(3x + -6) Reorder the terms: 5 + -3x + -1(6 + -3x) = 8(x + 11) + -1(3x + -6) 5 + -3x + (6 * -1 + -3x * -1) = 8(x + 11) + -1(3x + -6) 5 + -3x + (-6 + 3x) = 8(x + 11) + -1(3x + -6) Reorder the terms: 5 + -6 + -3x + 3x = 8(x + 11) + -1(3x + -6) Combine like terms: 5 + -6 = -1 -1 + -3x + 3x = 8(x + 11) + -1(3x + -6) Combine like terms: -3x + 3x = 0 -1 + 0 = 8(x + 11) + -1(3x + -6) -1 = 8(x + 11) + -1(3x + -6) Reorder the terms: -1 = 8(11 + x) + -1(3x + -6) -1 = (11 * 8 + x * 8) + -1(3x + -6) -1 = (88 + 8x) + -1(3x + -6) Reorder the terms: -1 = 88 + 8x + -1(-6 + 3x) -1 = 88 + 8x + (-6 * -1 + 3x * -1) -1 = 88 + 8x + (6 + -3x) Reorder the terms: -1 = 88 + 6 + 8x + -3x Combine like terms: 88 + 6 = 94 -1 = 94 + 8x + -3x Combine like terms: 8x + -3x = 5x -1 = 94 + 5x Solving -1 = 94 + 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 + -5x = 94 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -5x = 94 + 0 -1 + -5x = 94 Add '1' to each side of the equation. -1 + 1 + -5x = 94 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 94 + 1 -5x = 94 + 1 Combine like terms: 94 + 1 = 95 -5x = 95 Divide each side by '-5'. x = -19 Simplifying x = -19
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