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Simplifying 12(3X + -1) = 4(8X + -1) Reorder the terms: 12(-1 + 3X) = 4(8X + -1) (-1 * 12 + 3X * 12) = 4(8X + -1) (-12 + 36X) = 4(8X + -1) Reorder the terms: -12 + 36X = 4(-1 + 8X) -12 + 36X = (-1 * 4 + 8X * 4) -12 + 36X = (-4 + 32X) Solving -12 + 36X = -4 + 32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-32X' to each side of the equation. -12 + 36X + -32X = -4 + 32X + -32X Combine like terms: 36X + -32X = 4X -12 + 4X = -4 + 32X + -32X Combine like terms: 32X + -32X = 0 -12 + 4X = -4 + 0 -12 + 4X = -4 Add '12' to each side of the equation. -12 + 12 + 4X = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 4X = -4 + 12 4X = -4 + 12 Combine like terms: -4 + 12 = 8 4X = 8 Divide each side by '4'. X = 2 Simplifying X = 2
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