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Simplifying 4x + 2 = 11x + -47 Reorder the terms: 2 + 4x = 11x + -47 Reorder the terms: 2 + 4x = -47 + 11x Solving 2 + 4x = -47 + 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. 2 + 4x + -11x = -47 + 11x + -11x Combine like terms: 4x + -11x = -7x 2 + -7x = -47 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + -7x = -47 + 0 2 + -7x = -47 Add '-2' to each side of the equation. 2 + -2 + -7x = -47 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -47 + -2 -7x = -47 + -2 Combine like terms: -47 + -2 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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