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Simplifying 2x + 3 + 5x + -9 + 21 + -1x + x + 13 = 77 Reorder the terms: 3 + -9 + 21 + 13 + 2x + 5x + -1x + x = 77 Combine like terms: 3 + -9 = -6 -6 + 21 + 13 + 2x + 5x + -1x + x = 77 Combine like terms: -6 + 21 = 15 15 + 13 + 2x + 5x + -1x + x = 77 Combine like terms: 15 + 13 = 28 28 + 2x + 5x + -1x + x = 77 Combine like terms: 2x + 5x = 7x 28 + 7x + -1x + x = 77 Combine like terms: 7x + -1x = 6x 28 + 6x + x = 77 Combine like terms: 6x + x = 7x 28 + 7x = 77 Solving 28 + 7x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7x = 77 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 77 + -28 7x = 77 + -28 Combine like terms: 77 + -28 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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