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Simplifying -1(11x + -13) + 45 + -1x = 3(6 + -9x) + 17 + 10 Reorder the terms: -1(-13 + 11x) + 45 + -1x = 3(6 + -9x) + 17 + 10 (-13 * -1 + 11x * -1) + 45 + -1x = 3(6 + -9x) + 17 + 10 (13 + -11x) + 45 + -1x = 3(6 + -9x) + 17 + 10 Reorder the terms: 13 + 45 + -11x + -1x = 3(6 + -9x) + 17 + 10 Combine like terms: 13 + 45 = 58 58 + -11x + -1x = 3(6 + -9x) + 17 + 10 Combine like terms: -11x + -1x = -12x 58 + -12x = 3(6 + -9x) + 17 + 10 58 + -12x = (6 * 3 + -9x * 3) + 17 + 10 58 + -12x = (18 + -27x) + 17 + 10 Reorder the terms: 58 + -12x = 18 + 17 + 10 + -27x Combine like terms: 18 + 17 = 35 58 + -12x = 35 + 10 + -27x Combine like terms: 35 + 10 = 45 58 + -12x = 45 + -27x Solving 58 + -12x = 45 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 58 + -12x + 27x = 45 + -27x + 27x Combine like terms: -12x + 27x = 15x 58 + 15x = 45 + -27x + 27x Combine like terms: -27x + 27x = 0 58 + 15x = 45 + 0 58 + 15x = 45 Add '-58' to each side of the equation. 58 + -58 + 15x = 45 + -58 Combine like terms: 58 + -58 = 0 0 + 15x = 45 + -58 15x = 45 + -58 Combine like terms: 45 + -58 = -13 15x = -13 Divide each side by '15'. x = -0.8666666667 Simplifying x = -0.8666666667
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