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Simplifying 10x + -12 = 2(25 + -1x) + -2 Reorder the terms: -12 + 10x = 2(25 + -1x) + -2 -12 + 10x = (25 * 2 + -1x * 2) + -2 -12 + 10x = (50 + -2x) + -2 Reorder the terms: -12 + 10x = 50 + -2 + -2x Combine like terms: 50 + -2 = 48 -12 + 10x = 48 + -2x Solving -12 + 10x = 48 + -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. -12 + 10x + 2x = 48 + -2x + 2x Combine like terms: 10x + 2x = 12x -12 + 12x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 12x = 48 + 0 -12 + 12x = 48 Add '12' to each side of the equation. -12 + 12 + 12x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 48 + 12 12x = 48 + 12 Combine like terms: 48 + 12 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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