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