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Simplifying 5x + -18(x + -1) = 7 + -1(2x + 1) Reorder the terms: 5x + -18(-1 + x) = 7 + -1(2x + 1) 5x + (-1 * -18 + x * -18) = 7 + -1(2x + 1) 5x + (18 + -18x) = 7 + -1(2x + 1) Reorder the terms: 18 + 5x + -18x = 7 + -1(2x + 1) Combine like terms: 5x + -18x = -13x 18 + -13x = 7 + -1(2x + 1) Reorder the terms: 18 + -13x = 7 + -1(1 + 2x) 18 + -13x = 7 + (1 * -1 + 2x * -1) 18 + -13x = 7 + (-1 + -2x) Combine like terms: 7 + -1 = 6 18 + -13x = 6 + -2x Solving 18 + -13x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -13x + 2x = 6 + -2x + 2x Combine like terms: -13x + 2x = -11x 18 + -11x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -11x = 6 + 0 18 + -11x = 6 Add '-18' to each side of the equation. 18 + -18 + -11x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 6 + -18 -11x = 6 + -18 Combine like terms: 6 + -18 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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