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Simplifying 13(x + -9) + -2 = 7x + -5 Reorder the terms: 13(-9 + x) + -2 = 7x + -5 (-9 * 13 + x * 13) + -2 = 7x + -5 (-117 + 13x) + -2 = 7x + -5 Reorder the terms: -117 + -2 + 13x = 7x + -5 Combine like terms: -117 + -2 = -119 -119 + 13x = 7x + -5 Reorder the terms: -119 + 13x = -5 + 7x Solving -119 + 13x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -119 + 13x + -7x = -5 + 7x + -7x Combine like terms: 13x + -7x = 6x -119 + 6x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -119 + 6x = -5 + 0 -119 + 6x = -5 Add '119' to each side of the equation. -119 + 119 + 6x = -5 + 119 Combine like terms: -119 + 119 = 0 0 + 6x = -5 + 119 6x = -5 + 119 Combine like terms: -5 + 119 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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