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