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Simplifying 2(X + -1) = 3(8X + 12) Reorder the terms: 2(-1 + X) = 3(8X + 12) (-1 * 2 + X * 2) = 3(8X + 12) (-2 + 2X) = 3(8X + 12) Reorder the terms: -2 + 2X = 3(12 + 8X) -2 + 2X = (12 * 3 + 8X * 3) -2 + 2X = (36 + 24X) Solving -2 + 2X = 36 + 24X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24X' to each side of the equation. -2 + 2X + -24X = 36 + 24X + -24X Combine like terms: 2X + -24X = -22X -2 + -22X = 36 + 24X + -24X Combine like terms: 24X + -24X = 0 -2 + -22X = 36 + 0 -2 + -22X = 36 Add '2' to each side of the equation. -2 + 2 + -22X = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -22X = 36 + 2 -22X = 36 + 2 Combine like terms: 36 + 2 = 38 -22X = 38 Divide each side by '-22'. X = -1.727272727 Simplifying X = -1.727272727
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