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Simplifying 7x + 8 = 2(x + 9) Reorder the terms: 8 + 7x = 2(x + 9) Reorder the terms: 8 + 7x = 2(9 + x) 8 + 7x = (9 * 2 + x * 2) 8 + 7x = (18 + 2x) Solving 8 + 7x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 7x + -2x = 18 + 2x + -2x Combine like terms: 7x + -2x = 5x 8 + 5x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = 18 + 0 8 + 5x = 18 Add '-8' to each side of the equation. 8 + -8 + 5x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 18 + -8 5x = 18 + -8 Combine like terms: 18 + -8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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