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Simplifying 9(x + 6) + 6(x + 6) = 5x + -5 Reorder the terms: 9(6 + x) + 6(x + 6) = 5x + -5 (6 * 9 + x * 9) + 6(x + 6) = 5x + -5 (54 + 9x) + 6(x + 6) = 5x + -5 Reorder the terms: 54 + 9x + 6(6 + x) = 5x + -5 54 + 9x + (6 * 6 + x * 6) = 5x + -5 54 + 9x + (36 + 6x) = 5x + -5 Reorder the terms: 54 + 36 + 9x + 6x = 5x + -5 Combine like terms: 54 + 36 = 90 90 + 9x + 6x = 5x + -5 Combine like terms: 9x + 6x = 15x 90 + 15x = 5x + -5 Reorder the terms: 90 + 15x = -5 + 5x Solving 90 + 15x = -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. 90 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x 90 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + 10x = -5 + 0 90 + 10x = -5 Add '-90' to each side of the equation. 90 + -90 + 10x = -5 + -90 Combine like terms: 90 + -90 = 0 0 + 10x = -5 + -90 10x = -5 + -90 Combine like terms: -5 + -90 = -95 10x = -95 Divide each side by '10'. x = -9.5 Simplifying x = -9.5
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