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Simplifying 12(x + 4) = 3(-6 + 10) Reorder the terms: 12(4 + x) = 3(-6 + 10) (4 * 12 + x * 12) = 3(-6 + 10) (48 + 12x) = 3(-6 + 10) Combine like terms: -6 + 10 = 4 48 + 12x = 3(4) Multiply 3 * 4 48 + 12x = 12 Solving 48 + 12x = 12 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 = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 12x = 12 + -48 12x = 12 + -48 Combine like terms: 12 + -48 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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