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Simplifying 5x + 27 = 2(1 + 5x) Reorder the terms: 27 + 5x = 2(1 + 5x) 27 + 5x = (1 * 2 + 5x * 2) 27 + 5x = (2 + 10x) Solving 27 + 5x = 2 + 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. 27 + 5x + -10x = 2 + 10x + -10x Combine like terms: 5x + -10x = -5x 27 + -5x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -5x = 2 + 0 27 + -5x = 2 Add '-27' to each side of the equation. 27 + -27 + -5x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 2 + -27 -5x = 2 + -27 Combine like terms: 2 + -27 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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