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Simplifying 2(2x + 1) = 5x + 4 Reorder the terms: 2(1 + 2x) = 5x + 4 (1 * 2 + 2x * 2) = 5x + 4 (2 + 4x) = 5x + 4 Reorder the terms: 2 + 4x = 4 + 5x Solving 2 + 4x = 4 + 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. 2 + 4x + -5x = 4 + 5x + -5x Combine like terms: 4x + -5x = -1x 2 + -1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -1x = 4 + 0 2 + -1x = 4 Add '-2' to each side of the equation. 2 + -2 + -1x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 4 + -2 -1x = 4 + -2 Combine like terms: 4 + -2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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