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Simplifying 12(x + -7) = 10x Reorder the terms: 12(-7 + x) = 10x (-7 * 12 + x * 12) = 10x (-84 + 12x) = 10x Solving -84 + 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. -84 + 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x -84 + 2x = 10x + -10x Combine like terms: 10x + -10x = 0 -84 + 2x = 0 Add '84' to each side of the equation. -84 + 84 + 2x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 2x = 0 + 84 2x = 0 + 84 Combine like terms: 0 + 84 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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