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Simplifying 7(x + 4) + 2x + -2 = 52 Reorder the terms: 7(4 + x) + 2x + -2 = 52 (4 * 7 + x * 7) + 2x + -2 = 52 (28 + 7x) + 2x + -2 = 52 Reorder the terms: 28 + -2 + 7x + 2x = 52 Combine like terms: 28 + -2 = 26 26 + 7x + 2x = 52 Combine like terms: 7x + 2x = 9x 26 + 9x = 52 Solving 26 + 9x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9x = 52 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = 52 + -26 9x = 52 + -26 Combine like terms: 52 + -26 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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