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Simplifying -2(X + 6) + 4 = 3(X + 2) + 3 Reorder the terms: -2(6 + X) + 4 = 3(X + 2) + 3 (6 * -2 + X * -2) + 4 = 3(X + 2) + 3 (-12 + -2X) + 4 = 3(X + 2) + 3 Reorder the terms: -12 + 4 + -2X = 3(X + 2) + 3 Combine like terms: -12 + 4 = -8 -8 + -2X = 3(X + 2) + 3 Reorder the terms: -8 + -2X = 3(2 + X) + 3 -8 + -2X = (2 * 3 + X * 3) + 3 -8 + -2X = (6 + 3X) + 3 Reorder the terms: -8 + -2X = 6 + 3 + 3X Combine like terms: 6 + 3 = 9 -8 + -2X = 9 + 3X Solving -8 + -2X = 9 + 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. -8 + -2X + -3X = 9 + 3X + -3X Combine like terms: -2X + -3X = -5X -8 + -5X = 9 + 3X + -3X Combine like terms: 3X + -3X = 0 -8 + -5X = 9 + 0 -8 + -5X = 9 Add '8' to each side of the equation. -8 + 8 + -5X = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -5X = 9 + 8 -5X = 9 + 8 Combine like terms: 9 + 8 = 17 -5X = 17 Divide each side by '-5'. X = -3.4 Simplifying X = -3.4
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