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Simplifying 42 = 7x + 7(-2x + 18) Reorder the terms: 42 = 7x + 7(18 + -2x) 42 = 7x + (18 * 7 + -2x * 7) 42 = 7x + (126 + -14x) Reorder the terms: 42 = 126 + 7x + -14x Combine like terms: 7x + -14x = -7x 42 = 126 + -7x Solving 42 = 126 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + 7x = 126 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 7x = 126 + 0 42 + 7x = 126 Add '-42' to each side of the equation. 42 + -42 + 7x = 126 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 126 + -42 7x = 126 + -42 Combine like terms: 126 + -42 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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