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Simplifying 5(4x + 2) = 12x + 12 Reorder the terms: 5(2 + 4x) = 12x + 12 (2 * 5 + 4x * 5) = 12x + 12 (10 + 20x) = 12x + 12 Reorder the terms: 10 + 20x = 12 + 12x Solving 10 + 20x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 20x + -12x = 12 + 12x + -12x Combine like terms: 20x + -12x = 8x 10 + 8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 8x = 12 + 0 10 + 8x = 12 Add '-10' to each side of the equation. 10 + -10 + 8x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 12 + -10 8x = 12 + -10 Combine like terms: 12 + -10 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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