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Simplifying X + 1 + 2(x + 1) = 3(x + 2) + -1x + 2 Reorder the terms: X + 1 + 2(1 + x) = 3(x + 2) + -1x + 2 X + 1 + (1 * 2 + x * 2) = 3(x + 2) + -1x + 2 X + 1 + (2 + 2x) = 3(x + 2) + -1x + 2 Reorder the terms: 1 + 2 + X + 2x = 3(x + 2) + -1x + 2 Combine like terms: 1 + 2 = 3 3 + X + 2x = 3(x + 2) + -1x + 2 Reorder the terms: 3 + X + 2x = 3(2 + x) + -1x + 2 3 + X + 2x = (2 * 3 + x * 3) + -1x + 2 3 + X + 2x = (6 + 3x) + -1x + 2 Reorder the terms: 3 + X + 2x = 6 + 2 + 3x + -1x Combine like terms: 6 + 2 = 8 3 + X + 2x = 8 + 3x + -1x Combine like terms: 3x + -1x = 2x 3 + X + 2x = 8 + 2x Add '-2x' to each side of the equation. 3 + X + 2x + -2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + X + 0 = 8 + 2x + -2x 3 + X = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + X = 8 + 0 3 + X = 8 Solving 3 + X = 8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 8 + -3 Combine like terms: 3 + -3 = 0 0 + X = 8 + -3 X = 8 + -3 Combine like terms: 8 + -3 = 5 X = 5 Simplifying X = 5
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