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Simplifying 4(X + 1) + -2x = 5 + -1x Reorder the terms: 4(1 + X) + -2x = 5 + -1x (1 * 4 + X * 4) + -2x = 5 + -1x (4 + 4X) + -2x = 5 + -1x Solving 4 + 4X + -2x = 5 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4X + -4 + -2x = 5 + -4 + -1x Reorder the terms: 4 + -4 + 4X + -2x = 5 + -4 + -1x Combine like terms: 4 + -4 = 0 0 + 4X + -2x = 5 + -4 + -1x 4X + -2x = 5 + -4 + -1x Combine like terms: 5 + -4 = 1 4X + -2x = 1 + -1x Add '2x' to each side of the equation. 4X + -2x + 2x = 1 + -1x + 2x Combine like terms: -2x + 2x = 0 4X + 0 = 1 + -1x + 2x 4X = 1 + -1x + 2x Combine like terms: -1x + 2x = 1x 4X = 1 + 1x Divide each side by '4'. X = 0.25 + 0.25x Simplifying X = 0.25 + 0.25x
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