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Simplifying 7(x + 1) + 22 = 2x + 79 Reorder the terms: 7(1 + x) + 22 = 2x + 79 (1 * 7 + x * 7) + 22 = 2x + 79 (7 + 7x) + 22 = 2x + 79 Reorder the terms: 7 + 22 + 7x = 2x + 79 Combine like terms: 7 + 22 = 29 29 + 7x = 2x + 79 Reorder the terms: 29 + 7x = 79 + 2x Solving 29 + 7x = 79 + 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. 29 + 7x + -2x = 79 + 2x + -2x Combine like terms: 7x + -2x = 5x 29 + 5x = 79 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 5x = 79 + 0 29 + 5x = 79 Add '-29' to each side of the equation. 29 + -29 + 5x = 79 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 79 + -29 5x = 79 + -29 Combine like terms: 79 + -29 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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