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Simplifying 7x + -42 = 2(3x + 9) Reorder the terms: -42 + 7x = 2(3x + 9) Reorder the terms: -42 + 7x = 2(9 + 3x) -42 + 7x = (9 * 2 + 3x * 2) -42 + 7x = (18 + 6x) Solving -42 + 7x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 7x + -6x = 18 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x = 18 + 0 -42 + 1x = 18 Add '42' to each side of the equation. -42 + 42 + 1x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 18 + 42 1x = 18 + 42 Combine like terms: 18 + 42 = 60 1x = 60 Divide each side by '1'. x = 60 Simplifying x = 60
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