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Simplifying 9(x + 5) + 5(x + 5) = 7x + -7 Reorder the terms: 9(5 + x) + 5(x + 5) = 7x + -7 (5 * 9 + x * 9) + 5(x + 5) = 7x + -7 (45 + 9x) + 5(x + 5) = 7x + -7 Reorder the terms: 45 + 9x + 5(5 + x) = 7x + -7 45 + 9x + (5 * 5 + x * 5) = 7x + -7 45 + 9x + (25 + 5x) = 7x + -7 Reorder the terms: 45 + 25 + 9x + 5x = 7x + -7 Combine like terms: 45 + 25 = 70 70 + 9x + 5x = 7x + -7 Combine like terms: 9x + 5x = 14x 70 + 14x = 7x + -7 Reorder the terms: 70 + 14x = -7 + 7x Solving 70 + 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. 70 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 70 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 70 + 7x = -7 + 0 70 + 7x = -7 Add '-70' to each side of the equation. 70 + -70 + 7x = -7 + -70 Combine like terms: 70 + -70 = 0 0 + 7x = -7 + -70 7x = -7 + -70 Combine like terms: -7 + -70 = -77 7x = -77 Divide each side by '7'. x = -11 Simplifying x = -11
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