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Simplifying 9(x + 6) + 5(x + 6) = 5x + -5 Reorder the terms: 9(6 + x) + 5(x + 6) = 5x + -5 (6 * 9 + x * 9) + 5(x + 6) = 5x + -5 (54 + 9x) + 5(x + 6) = 5x + -5 Reorder the terms: 54 + 9x + 5(6 + x) = 5x + -5 54 + 9x + (6 * 5 + x * 5) = 5x + -5 54 + 9x + (30 + 5x) = 5x + -5 Reorder the terms: 54 + 30 + 9x + 5x = 5x + -5 Combine like terms: 54 + 30 = 84 84 + 9x + 5x = 5x + -5 Combine like terms: 9x + 5x = 14x 84 + 14x = 5x + -5 Reorder the terms: 84 + 14x = -5 + 5x Solving 84 + 14x = -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. 84 + 14x + -5x = -5 + 5x + -5x Combine like terms: 14x + -5x = 9x 84 + 9x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + 9x = -5 + 0 84 + 9x = -5 Add '-84' to each side of the equation. 84 + -84 + 9x = -5 + -84 Combine like terms: 84 + -84 = 0 0 + 9x = -5 + -84 9x = -5 + -84 Combine like terms: -5 + -84 = -89 9x = -89 Divide each side by '9'. x = -9.888888889 Simplifying x = -9.888888889
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