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Simplifying 13(x + 6) = 10x + 9 Reorder the terms: 13(6 + x) = 10x + 9 (6 * 13 + x * 13) = 10x + 9 (78 + 13x) = 10x + 9 Reorder the terms: 78 + 13x = 9 + 10x Solving 78 + 13x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 78 + 13x + -10x = 9 + 10x + -10x Combine like terms: 13x + -10x = 3x 78 + 3x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + 3x = 9 + 0 78 + 3x = 9 Add '-78' to each side of the equation. 78 + -78 + 3x = 9 + -78 Combine like terms: 78 + -78 = 0 0 + 3x = 9 + -78 3x = 9 + -78 Combine like terms: 9 + -78 = -69 3x = -69 Divide each side by '3'. x = -23 Simplifying x = -23
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