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Simplifying 2(3X + 4) = 8(X + -1) + -2 Reorder the terms: 2(4 + 3X) = 8(X + -1) + -2 (4 * 2 + 3X * 2) = 8(X + -1) + -2 (8 + 6X) = 8(X + -1) + -2 Reorder the terms: 8 + 6X = 8(-1 + X) + -2 8 + 6X = (-1 * 8 + X * 8) + -2 8 + 6X = (-8 + 8X) + -2 Reorder the terms: 8 + 6X = -8 + -2 + 8X Combine like terms: -8 + -2 = -10 8 + 6X = -10 + 8X Solving 8 + 6X = -10 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 8 + 6X + -8X = -10 + 8X + -8X Combine like terms: 6X + -8X = -2X 8 + -2X = -10 + 8X + -8X Combine like terms: 8X + -8X = 0 8 + -2X = -10 + 0 8 + -2X = -10 Add '-8' to each side of the equation. 8 + -8 + -2X = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2X = -10 + -8 -2X = -10 + -8 Combine like terms: -10 + -8 = -18 -2X = -18 Divide each side by '-2'. X = 9 Simplifying X = 9
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