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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 = 21 21 + 13x + -35x = 10(2 + -3x) + 15 + -9x Combine like terms: 13x + -35x = -22x 21 + -22x = 10(2 + -3x) + 15 + -9x 21 + -22x = (2 * 10 + -3x * 10) + 15 + -9x 21 + -22x = (20 + -30x) + 15 + -9x Reorder the terms: 21 + -22x = 20 + 15 + -30x + -9x Combine like terms: 20 + 15 = 35 21 + -22x = 35 + -30x + -9x Combine like terms: -30x + -9x = -39x 21 + -22x = 35 + -39x Solving 21 + -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. 21 + -22x + 39x = 35 + -39x + 39x Combine like terms: -22x + 39x = 17x 21 + 17x = 35 + -39x + 39x Combine like terms: -39x + 39x = 0 21 + 17x = 35 + 0 21 + 17x = 35 Add '-21' to each side of the equation. 21 + -21 + 17x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 17x = 35 + -21 17x = 35 + -21 Combine like terms: 35 + -21 = 14 17x = 14 Divide each side by '17'. x = 0.8235294118 Simplifying x = 0.8235294118
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