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Simplifying 13(x + -9) = 7x + -10 Reorder the terms: 13(-9 + x) = 7x + -10 (-9 * 13 + x * 13) = 7x + -10 (-117 + 13x) = 7x + -10 Reorder the terms: -117 + 13x = -10 + 7x Solving -117 + 13x = -10 + 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. -117 + 13x + -7x = -10 + 7x + -7x Combine like terms: 13x + -7x = 6x -117 + 6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -117 + 6x = -10 + 0 -117 + 6x = -10 Add '117' to each side of the equation. -117 + 117 + 6x = -10 + 117 Combine like terms: -117 + 117 = 0 0 + 6x = -10 + 117 6x = -10 + 117 Combine like terms: -10 + 117 = 107 6x = 107 Divide each side by '6'. x = 17.83333333 Simplifying x = 17.83333333
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