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Simplifying 9x + 5(x + 7) = 7(x + -5) Reorder the terms: 9x + 5(7 + x) = 7(x + -5) 9x + (7 * 5 + x * 5) = 7(x + -5) 9x + (35 + 5x) = 7(x + -5) Reorder the terms: 35 + 9x + 5x = 7(x + -5) Combine like terms: 9x + 5x = 14x 35 + 14x = 7(x + -5) Reorder the terms: 35 + 14x = 7(-5 + x) 35 + 14x = (-5 * 7 + x * 7) 35 + 14x = (-35 + 7x) Solving 35 + 14x = -35 + 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. 35 + 14x + -7x = -35 + 7x + -7x Combine like terms: 14x + -7x = 7x 35 + 7x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 7x = -35 + 0 35 + 7x = -35 Add '-35' to each side of the equation. 35 + -35 + 7x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -35 + -35 7x = -35 + -35 Combine like terms: -35 + -35 = -70 7x = -70 Divide each side by '7'. x = -10 Simplifying x = -10
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