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Simplifying 7(x + 2) + 5 = 5x + 9 Reorder the terms: 7(2 + x) + 5 = 5x + 9 (2 * 7 + x * 7) + 5 = 5x + 9 (14 + 7x) + 5 = 5x + 9 Reorder the terms: 14 + 5 + 7x = 5x + 9 Combine like terms: 14 + 5 = 19 19 + 7x = 5x + 9 Reorder the terms: 19 + 7x = 9 + 5x Solving 19 + 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. 19 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x 19 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 2x = 9 + 0 19 + 2x = 9 Add '-19' to each side of the equation. 19 + -19 + 2x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 9 + -19 2x = 9 + -19 Combine like terms: 9 + -19 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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