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Simplifying 7(x + -12) = 5x Reorder the terms: 7(-12 + x) = 5x (-12 * 7 + x * 7) = 5x (-84 + 7x) = 5x Solving -84 + 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -84 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x -84 + 2x = 5x + -5x Combine like terms: 5x + -5x = 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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