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Simplifying 13(5x + -7) = 3x + -5 Reorder the terms: 13(-7 + 5x) = 3x + -5 (-7 * 13 + 5x * 13) = 3x + -5 (-91 + 65x) = 3x + -5 Reorder the terms: -91 + 65x = -5 + 3x Solving -91 + 65x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -91 + 65x + -3x = -5 + 3x + -3x Combine like terms: 65x + -3x = 62x -91 + 62x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -91 + 62x = -5 + 0 -91 + 62x = -5 Add '91' to each side of the equation. -91 + 91 + 62x = -5 + 91 Combine like terms: -91 + 91 = 0 0 + 62x = -5 + 91 62x = -5 + 91 Combine like terms: -5 + 91 = 86 62x = 86 Divide each side by '62'. x = 1.387096774 Simplifying x = 1.387096774
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