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Simplifying 13x + -5(7x + 2) + 11 = 10(2 + -3x) + 15 + -9x Reorder the terms: 13x + -5(2 + 7x) + 11 = 10(2 + -3x) + 15 + -9x 13x + (2 * -5 + 7x * -5) + 11 = 10(2 + -3x) + 15 + -9x 13x + (-10 + -35x) + 11 = 10(2 + -3x) + 15 + -9x Reorder the terms: -10 + 11 + 13x + -35x = 10(2 + -3x) + 15 + -9x Combine like terms: -10 + 11 = 1 1 + 13x + -35x = 10(2 + -3x) + 15 + -9x Combine like terms: 13x + -35x = -22x 1 + -22x = 10(2 + -3x) + 15 + -9x 1 + -22x = (2 * 10 + -3x * 10) + 15 + -9x 1 + -22x = (20 + -30x) + 15 + -9x Reorder the terms: 1 + -22x = 20 + 15 + -30x + -9x Combine like terms: 20 + 15 = 35 1 + -22x = 35 + -30x + -9x Combine like terms: -30x + -9x = -39x 1 + -22x = 35 + -39x Solving 1 + -22x = 35 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 1 + -22x + 39x = 35 + -39x + 39x Combine like terms: -22x + 39x = 17x 1 + 17x = 35 + -39x + 39x Combine like terms: -39x + 39x = 0 1 + 17x = 35 + 0 1 + 17x = 35 Add '-1' to each side of the equation. 1 + -1 + 17x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 35 + -1 17x = 35 + -1 Combine like terms: 35 + -1 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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