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Simplifying 9(x + 6) + 5(x + 6) = 7x + -7 Reorder the terms: 9(6 + x) + 5(x + 6) = 7x + -7 (6 * 9 + x * 9) + 5(x + 6) = 7x + -7 (54 + 9x) + 5(x + 6) = 7x + -7 Reorder the terms: 54 + 9x + 5(6 + x) = 7x + -7 54 + 9x + (6 * 5 + x * 5) = 7x + -7 54 + 9x + (30 + 5x) = 7x + -7 Reorder the terms: 54 + 30 + 9x + 5x = 7x + -7 Combine like terms: 54 + 30 = 84 84 + 9x + 5x = 7x + -7 Combine like terms: 9x + 5x = 14x 84 + 14x = 7x + -7 Reorder the terms: 84 + 14x = -7 + 7x Solving 84 + 14x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 84 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 84 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 84 + 7x = -7 + 0 84 + 7x = -7 Add '-84' to each side of the equation. 84 + -84 + 7x = -7 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = -7 + -84 7x = -7 + -84 Combine like terms: -7 + -84 = -91 7x = -91 Divide each side by '7'. x = -13 Simplifying x = -13
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