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Simplifying 12x + 4 = 2(5x + 8) + -12 Reorder the terms: 4 + 12x = 2(5x + 8) + -12 Reorder the terms: 4 + 12x = 2(8 + 5x) + -12 4 + 12x = (8 * 2 + 5x * 2) + -12 4 + 12x = (16 + 10x) + -12 Reorder the terms: 4 + 12x = 16 + -12 + 10x Combine like terms: 16 + -12 = 4 4 + 12x = 4 + 10x Add '-4' to each side of the equation. 4 + -4 + 12x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 0 + 12x = 4 + -4 + 10x 12x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 12x = 0 + 10x 12x = 10x Solving 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 10x + -10x Combine like terms: 10x + -10x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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