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Simplifying 9(x + 6) + (x + 6) = 5x + -5 Reorder the terms: 9(6 + x) + (x + 6) = 5x + -5 (6 * 9 + x * 9) + (x + 6) = 5x + -5 (54 + 9x) + (x + 6) = 5x + -5 Reorder the terms: 54 + 9x + (6 + x) = 5x + -5 Remove parenthesis around (6 + x) 54 + 9x + 6 + x = 5x + -5 Reorder the terms: 54 + 6 + 9x + x = 5x + -5 Combine like terms: 54 + 6 = 60 60 + 9x + x = 5x + -5 Combine like terms: 9x + x = 10x 60 + 10x = 5x + -5 Reorder the terms: 60 + 10x = -5 + 5x Solving 60 + 10x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 60 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x 60 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 5x = -5 + 0 60 + 5x = -5 Add '-60' to each side of the equation. 60 + -60 + 5x = -5 + -60 Combine like terms: 60 + -60 = 0 0 + 5x = -5 + -60 5x = -5 + -60 Combine like terms: -5 + -60 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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