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Simplifying 13x + -5(7x + -3) = 23 + -8x Reorder the terms: 13x + -5(-3 + 7x) = 23 + -8x 13x + (-3 * -5 + 7x * -5) = 23 + -8x 13x + (15 + -35x) = 23 + -8x Reorder the terms: 15 + 13x + -35x = 23 + -8x Combine like terms: 13x + -35x = -22x 15 + -22x = 23 + -8x Solving 15 + -22x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -22x + 8x = 23 + -8x + 8x Combine like terms: -22x + 8x = -14x 15 + -14x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + -14x = 23 + 0 15 + -14x = 23 Add '-15' to each side of the equation. 15 + -15 + -14x = 23 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 23 + -15 -14x = 23 + -15 Combine like terms: 23 + -15 = 8 -14x = 8 Divide each side by '-14'. x = -0.5714285714 Simplifying x = -0.5714285714
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