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Simplifying 42 = 4x + -8 + 7x + 1 Reorder the terms: 42 = -8 + 1 + 4x + 7x Combine like terms: -8 + 1 = -7 42 = -7 + 4x + 7x Combine like terms: 4x + 7x = 11x 42 = -7 + 11x Solving 42 = -7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 42 + -11x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + -11x = -7 + 0 42 + -11x = -7 Add '-42' to each side of the equation. 42 + -42 + -11x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = -7 + -42 -11x = -7 + -42 Combine like terms: -7 + -42 = -49 -11x = -49 Divide each side by '-11'. x = 4.454545455 Simplifying x = 4.454545455
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