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Simplifying 18x + 31 + -1(11x + 11) = (6x + -4) + -1(8 + -5x) Reorder the terms: 18x + 31 + -1(11 + 11x) = (6x + -4) + -1(8 + -5x) 18x + 31 + (11 * -1 + 11x * -1) = (6x + -4) + -1(8 + -5x) 18x + 31 + (-11 + -11x) = (6x + -4) + -1(8 + -5x) Reorder the terms: 31 + -11 + 18x + -11x = (6x + -4) + -1(8 + -5x) Combine like terms: 31 + -11 = 20 20 + 18x + -11x = (6x + -4) + -1(8 + -5x) Combine like terms: 18x + -11x = 7x 20 + 7x = (6x + -4) + -1(8 + -5x) Reorder the terms: 20 + 7x = (-4 + 6x) + -1(8 + -5x) Remove parenthesis around (-4 + 6x) 20 + 7x = -4 + 6x + -1(8 + -5x) 20 + 7x = -4 + 6x + (8 * -1 + -5x * -1) 20 + 7x = -4 + 6x + (-8 + 5x) Reorder the terms: 20 + 7x = -4 + -8 + 6x + 5x Combine like terms: -4 + -8 = -12 20 + 7x = -12 + 6x + 5x Combine like terms: 6x + 5x = 11x 20 + 7x = -12 + 11x Solving 20 + 7x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 20 + 7x + -11x = -12 + 11x + -11x Combine like terms: 7x + -11x = -4x 20 + -4x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 20 + -4x = -12 + 0 20 + -4x = -12 Add '-20' to each side of the equation. 20 + -20 + -4x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -12 + -20 -4x = -12 + -20 Combine like terms: -12 + -20 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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