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Simplifying 2(1 + 2x) = 37 + -1x (1 * 2 + 2x * 2) = 37 + -1x (2 + 4x) = 37 + -1x Solving 2 + 4x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 4x + x = 37 + -1x + x Combine like terms: 4x + x = 5x 2 + 5x = 37 + -1x + x Combine like terms: -1x + x = 0 2 + 5x = 37 + 0 2 + 5x = 37 Add '-2' to each side of the equation. 2 + -2 + 5x = 37 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 37 + -2 5x = 37 + -2 Combine like terms: 37 + -2 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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