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Simplifying 7x + 7(x + -12) = 42 Reorder the terms: 7x + 7(-12 + x) = 42 7x + (-12 * 7 + x * 7) = 42 7x + (-84 + 7x) = 42 Reorder the terms: -84 + 7x + 7x = 42 Combine like terms: 7x + 7x = 14x -84 + 14x = 42 Solving -84 + 14x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 14x = 42 + 84 Combine like terms: -84 + 84 = 0 0 + 14x = 42 + 84 14x = 42 + 84 Combine like terms: 42 + 84 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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