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Simplifying (X + 1) * 2 + -1(4 + -1x) * 2 = 1 Reorder the terms: (1 + X) * 2 + -1(4 + -1x) * 2 = 1 Reorder the terms for easier multiplication: 2(1 + X) + -1(4 + -1x) * 2 = 1 (1 * 2 + X * 2) + -1(4 + -1x) * 2 = 1 (2 + 2X) + -1(4 + -1x) * 2 = 1 Reorder the terms for easier multiplication: 2 + 2X + -1 * 2(4 + -1x) = 1 Multiply -1 * 2 2 + 2X + -2(4 + -1x) = 1 2 + 2X + (4 * -2 + -1x * -2) = 1 2 + 2X + (-8 + 2x) = 1 Reorder the terms: 2 + -8 + 2X + 2x = 1 Combine like terms: 2 + -8 = -6 -6 + 2X + 2x = 1 Solving -6 + 2X + 2x = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2X + 6 + 2x = 1 + 6 Reorder the terms: -6 + 6 + 2X + 2x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 2X + 2x = 1 + 6 2X + 2x = 1 + 6 Combine like terms: 1 + 6 = 7 2X + 2x = 7 Add '-2x' to each side of the equation. 2X + 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 2X + 0 = 7 + -2x 2X = 7 + -2x Divide each side by '2'. X = 3.5 + -1x Simplifying X = 3.5 + -1x
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