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Simplifying 12(x + 4) = 2x + 78 Reorder the terms: 12(4 + x) = 2x + 78 (4 * 12 + x * 12) = 2x + 78 (48 + 12x) = 2x + 78 Reorder the terms: 48 + 12x = 78 + 2x Solving 48 + 12x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 12x + -2x = 78 + 2x + -2x Combine like terms: 12x + -2x = 10x 48 + 10x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 10x = 78 + 0 48 + 10x = 78 Add '-48' to each side of the equation. 48 + -48 + 10x = 78 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = 78 + -48 10x = 78 + -48 Combine like terms: 78 + -48 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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