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Simplifying 2x + 9x + 42 = 7x + 306 Reorder the terms: 42 + 2x + 9x = 7x + 306 Combine like terms: 2x + 9x = 11x 42 + 11x = 7x + 306 Reorder the terms: 42 + 11x = 306 + 7x Solving 42 + 11x = 306 + 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 + 11x + -7x = 306 + 7x + -7x Combine like terms: 11x + -7x = 4x 42 + 4x = 306 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + 4x = 306 + 0 42 + 4x = 306 Add '-42' to each side of the equation. 42 + -42 + 4x = 306 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 306 + -42 4x = 306 + -42 Combine like terms: 306 + -42 = 264 4x = 264 Divide each side by '4'. x = 66 Simplifying x = 66
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