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Simplifying 5x + 9 = 2(5x + 2) Reorder the terms: 9 + 5x = 2(5x + 2) Reorder the terms: 9 + 5x = 2(2 + 5x) 9 + 5x = (2 * 2 + 5x * 2) 9 + 5x = (4 + 10x) Solving 9 + 5x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 5x + -10x = 4 + 10x + -10x Combine like terms: 5x + -10x = -5x 9 + -5x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -5x = 4 + 0 9 + -5x = 4 Add '-9' to each side of the equation. 9 + -9 + -5x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 4 + -9 -5x = 4 + -9 Combine like terms: 4 + -9 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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