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Simplifying 9(x + 5) + 2(x + 5) = 6x + -6 Reorder the terms: 9(5 + x) + 2(x + 5) = 6x + -6 (5 * 9 + x * 9) + 2(x + 5) = 6x + -6 (45 + 9x) + 2(x + 5) = 6x + -6 Reorder the terms: 45 + 9x + 2(5 + x) = 6x + -6 45 + 9x + (5 * 2 + x * 2) = 6x + -6 45 + 9x + (10 + 2x) = 6x + -6 Reorder the terms: 45 + 10 + 9x + 2x = 6x + -6 Combine like terms: 45 + 10 = 55 55 + 9x + 2x = 6x + -6 Combine like terms: 9x + 2x = 11x 55 + 11x = 6x + -6 Reorder the terms: 55 + 11x = -6 + 6x Solving 55 + 11x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 55 + 11x + -6x = -6 + 6x + -6x Combine like terms: 11x + -6x = 5x 55 + 5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 55 + 5x = -6 + 0 55 + 5x = -6 Add '-55' to each side of the equation. 55 + -55 + 5x = -6 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = -6 + -55 5x = -6 + -55 Combine like terms: -6 + -55 = -61 5x = -61 Divide each side by '5'. x = -12.2 Simplifying x = -12.2
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