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Simplifying 13x + -1(-17x + 24) = -1(-11x + -12) + -10 Reorder the terms: 13x + -1(24 + -17x) = -1(-11x + -12) + -10 13x + (24 * -1 + -17x * -1) = -1(-11x + -12) + -10 13x + (-24 + 17x) = -1(-11x + -12) + -10 Reorder the terms: -24 + 13x + 17x = -1(-11x + -12) + -10 Combine like terms: 13x + 17x = 30x -24 + 30x = -1(-11x + -12) + -10 Reorder the terms: -24 + 30x = -1(-12 + -11x) + -10 -24 + 30x = (-12 * -1 + -11x * -1) + -10 -24 + 30x = (12 + 11x) + -10 Reorder the terms: -24 + 30x = 12 + -10 + 11x Combine like terms: 12 + -10 = 2 -24 + 30x = 2 + 11x Solving -24 + 30x = 2 + 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. -24 + 30x + -11x = 2 + 11x + -11x Combine like terms: 30x + -11x = 19x -24 + 19x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + 19x = 2 + 0 -24 + 19x = 2 Add '24' to each side of the equation. -24 + 24 + 19x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = 2 + 24 19x = 2 + 24 Combine like terms: 2 + 24 = 26 19x = 26 Divide each side by '19'. x = 1.368421053 Simplifying x = 1.368421053
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