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Simplifying 4x + 42 = 11x + -7 Reorder the terms: 42 + 4x = 11x + -7 Reorder the terms: 42 + 4x = -7 + 11x Solving 42 + 4x = -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 + 4x + -11x = -7 + 11x + -11x Combine like terms: 4x + -11x = -7x 42 + -7x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + -7x = -7 + 0 42 + -7x = -7 Add '-42' to each side of the equation. 42 + -42 + -7x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = -7 + -42 -7x = -7 + -42 Combine like terms: -7 + -42 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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