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Simplifying 2(4x + 5) + -7x + -8 = 13 Reorder the terms: 2(5 + 4x) + -7x + -8 = 13 (5 * 2 + 4x * 2) + -7x + -8 = 13 (10 + 8x) + -7x + -8 = 13 Reorder the terms: 10 + -8 + 8x + -7x = 13 Combine like terms: 10 + -8 = 2 2 + 8x + -7x = 13 Combine like terms: 8x + -7x = 1x 2 + 1x = 13 Solving 2 + 1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 13 + -2 1x = 13 + -2 Combine like terms: 13 + -2 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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