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Simplifying 2(x + 12) = 7x + 4 Reorder the terms: 2(12 + x) = 7x + 4 (12 * 2 + x * 2) = 7x + 4 (24 + 2x) = 7x + 4 Reorder the terms: 24 + 2x = 4 + 7x Solving 24 + 2x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 2x + -7x = 4 + 7x + -7x Combine like terms: 2x + -7x = -5x 24 + -5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -5x = 4 + 0 24 + -5x = 4 Add '-24' to each side of the equation. 24 + -24 + -5x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 4 + -24 -5x = 4 + -24 Combine like terms: 4 + -24 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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