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Simplifying 12(X + 4) = 4(3x + 2) + 10 Reorder the terms: 12(4 + X) = 4(3x + 2) + 10 (4 * 12 + X * 12) = 4(3x + 2) + 10 (48 + 12X) = 4(3x + 2) + 10 Reorder the terms: 48 + 12X = 4(2 + 3x) + 10 48 + 12X = (2 * 4 + 3x * 4) + 10 48 + 12X = (8 + 12x) + 10 Reorder the terms: 48 + 12X = 8 + 10 + 12x Combine like terms: 8 + 10 = 18 48 + 12X = 18 + 12x Solving 48 + 12X = 18 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12X = 18 + -48 + 12x Combine like terms: 48 + -48 = 0 0 + 12X = 18 + -48 + 12x 12X = 18 + -48 + 12x Combine like terms: 18 + -48 = -30 12X = -30 + 12x Divide each side by '12'. X = -2.5 + x Simplifying X = -2.5 + x
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