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Simplifying 5(1x + 2) + 3(1x + -8) = 0 Reorder the terms: 5(2 + 1x) + 3(1x + -8) = 0 (2 * 5 + 1x * 5) + 3(1x + -8) = 0 (10 + 5x) + 3(1x + -8) = 0 Reorder the terms: 10 + 5x + 3(-8 + 1x) = 0 10 + 5x + (-8 * 3 + 1x * 3) = 0 10 + 5x + (-24 + 3x) = 0 Reorder the terms: 10 + -24 + 5x + 3x = 0 Combine like terms: 10 + -24 = -14 -14 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -14 + 8x = 0 Solving -14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 0 + 14 8x = 0 + 14 Combine like terms: 0 + 14 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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