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Simplifying 2(2X + 1) + x = x + 2 + x + 2x + 5 Reorder the terms: 2(1 + 2X) + x = x + 2 + x + 2x + 5 (1 * 2 + 2X * 2) + x = x + 2 + x + 2x + 5 (2 + 4X) + x = x + 2 + x + 2x + 5 Reorder the terms: 2 + 4X + x = 2 + 5 + x + x + 2x Combine like terms: 2 + 5 = 7 2 + 4X + x = 7 + x + x + 2x Combine like terms: x + x = 2x 2 + 4X + x = 7 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4X + x = 7 + 4x Solving 2 + 4X + x = 7 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4X + -2 + x = 7 + -2 + 4x Reorder the terms: 2 + -2 + 4X + x = 7 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 4X + x = 7 + -2 + 4x 4X + x = 7 + -2 + 4x Combine like terms: 7 + -2 = 5 4X + x = 5 + 4x Add '-1x' to each side of the equation. 4X + x + -1x = 5 + 4x + -1x Combine like terms: x + -1x = 0 4X + 0 = 5 + 4x + -1x 4X = 5 + 4x + -1x Combine like terms: 4x + -1x = 3x 4X = 5 + 3x Divide each side by '4'. X = 1.25 + 0.75x Simplifying X = 1.25 + 0.75x
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