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Simplifying 2(X + -3) + 2 = 3(X + -2) + -9 Reorder the terms: 2(-3 + X) + 2 = 3(X + -2) + -9 (-3 * 2 + X * 2) + 2 = 3(X + -2) + -9 (-6 + 2X) + 2 = 3(X + -2) + -9 Reorder the terms: -6 + 2 + 2X = 3(X + -2) + -9 Combine like terms: -6 + 2 = -4 -4 + 2X = 3(X + -2) + -9 Reorder the terms: -4 + 2X = 3(-2 + X) + -9 -4 + 2X = (-2 * 3 + X * 3) + -9 -4 + 2X = (-6 + 3X) + -9 Reorder the terms: -4 + 2X = -6 + -9 + 3X Combine like terms: -6 + -9 = -15 -4 + 2X = -15 + 3X Solving -4 + 2X = -15 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -4 + 2X + -3X = -15 + 3X + -3X Combine like terms: 2X + -3X = -1X -4 + -1X = -15 + 3X + -3X Combine like terms: 3X + -3X = 0 -4 + -1X = -15 + 0 -4 + -1X = -15 Add '4' to each side of the equation. -4 + 4 + -1X = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = -15 + 4 -1X = -15 + 4 Combine like terms: -15 + 4 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11
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