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Simplifying 7(x + 2) + -9 = 6 + 5(x + -3) Reorder the terms: 7(2 + x) + -9 = 6 + 5(x + -3) (2 * 7 + x * 7) + -9 = 6 + 5(x + -3) (14 + 7x) + -9 = 6 + 5(x + -3) Reorder the terms: 14 + -9 + 7x = 6 + 5(x + -3) Combine like terms: 14 + -9 = 5 5 + 7x = 6 + 5(x + -3) Reorder the terms: 5 + 7x = 6 + 5(-3 + x) 5 + 7x = 6 + (-3 * 5 + x * 5) 5 + 7x = 6 + (-15 + 5x) Combine like terms: 6 + -15 = -9 5 + 7x = -9 + 5x Solving 5 + 7x = -9 + 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. 5 + 7x + -5x = -9 + 5x + -5x Combine like terms: 7x + -5x = 2x 5 + 2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 2x = -9 + 0 5 + 2x = -9 Add '-5' to each side of the equation. 5 + -5 + 2x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -9 + -5 2x = -9 + -5 Combine like terms: -9 + -5 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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