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Simplifying 5(2x + 1) + -1(7 + 8x) = 0 Reorder the terms: 5(1 + 2x) + -1(7 + 8x) = 0 (1 * 5 + 2x * 5) + -1(7 + 8x) = 0 (5 + 10x) + -1(7 + 8x) = 0 5 + 10x + (7 * -1 + 8x * -1) = 0 5 + 10x + (-7 + -8x) = 0 Reorder the terms: 5 + -7 + 10x + -8x = 0 Combine like terms: 5 + -7 = -2 -2 + 10x + -8x = 0 Combine like terms: 10x + -8x = 2x -2 + 2x = 0 Solving -2 + 2x = 0 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 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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