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Simplifying 47 = 4x + 10 + 7x + -7 Reorder the terms: 47 = 10 + -7 + 4x + 7x Combine like terms: 10 + -7 = 3 47 = 3 + 4x + 7x Combine like terms: 4x + 7x = 11x 47 = 3 + 11x Solving 47 = 3 + 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. 47 + -11x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 47 + -11x = 3 + 0 47 + -11x = 3 Add '-47' to each side of the equation. 47 + -47 + -11x = 3 + -47 Combine like terms: 47 + -47 = 0 0 + -11x = 3 + -47 -11x = 3 + -47 Combine like terms: 3 + -47 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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