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Simplifying 7(x + 13) + -3 = 2(x + 13) + 17 Reorder the terms: 7(13 + x) + -3 = 2(x + 13) + 17 (13 * 7 + x * 7) + -3 = 2(x + 13) + 17 (91 + 7x) + -3 = 2(x + 13) + 17 Reorder the terms: 91 + -3 + 7x = 2(x + 13) + 17 Combine like terms: 91 + -3 = 88 88 + 7x = 2(x + 13) + 17 Reorder the terms: 88 + 7x = 2(13 + x) + 17 88 + 7x = (13 * 2 + x * 2) + 17 88 + 7x = (26 + 2x) + 17 Reorder the terms: 88 + 7x = 26 + 17 + 2x Combine like terms: 26 + 17 = 43 88 + 7x = 43 + 2x Solving 88 + 7x = 43 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 88 + 7x + -2x = 43 + 2x + -2x Combine like terms: 7x + -2x = 5x 88 + 5x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 88 + 5x = 43 + 0 88 + 5x = 43 Add '-88' to each side of the equation. 88 + -88 + 5x = 43 + -88 Combine like terms: 88 + -88 = 0 0 + 5x = 43 + -88 5x = 43 + -88 Combine like terms: 43 + -88 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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