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Simplifying 13(x + 6) = 9x + 118 Reorder the terms: 13(6 + x) = 9x + 118 (6 * 13 + x * 13) = 9x + 118 (78 + 13x) = 9x + 118 Reorder the terms: 78 + 13x = 118 + 9x Solving 78 + 13x = 118 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 78 + 13x + -9x = 118 + 9x + -9x Combine like terms: 13x + -9x = 4x 78 + 4x = 118 + 9x + -9x Combine like terms: 9x + -9x = 0 78 + 4x = 118 + 0 78 + 4x = 118 Add '-78' to each side of the equation. 78 + -78 + 4x = 118 + -78 Combine like terms: 78 + -78 = 0 0 + 4x = 118 + -78 4x = 118 + -78 Combine like terms: 118 + -78 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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