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Simplifying 4x + 21 + 7x = 2x + 47 Reorder the terms: 21 + 4x + 7x = 2x + 47 Combine like terms: 4x + 7x = 11x 21 + 11x = 2x + 47 Reorder the terms: 21 + 11x = 47 + 2x Solving 21 + 11x = 47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 11x + -2x = 47 + 2x + -2x Combine like terms: 11x + -2x = 9x 21 + 9x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 9x = 47 + 0 21 + 9x = 47 Add '-21' to each side of the equation. 21 + -21 + 9x = 47 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 47 + -21 9x = 47 + -21 Combine like terms: 47 + -21 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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