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Simplifying 8x + 3(x + 5) + -5(x + 4) = 0 Reorder the terms: 8x + 3(5 + x) + -5(x + 4) = 0 8x + (5 * 3 + x * 3) + -5(x + 4) = 0 8x + (15 + 3x) + -5(x + 4) = 0 Reorder the terms: 8x + 15 + 3x + -5(4 + x) = 0 8x + 15 + 3x + (4 * -5 + x * -5) = 0 8x + 15 + 3x + (-20 + -5x) = 0 Reorder the terms: 15 + -20 + 8x + 3x + -5x = 0 Combine like terms: 15 + -20 = -5 -5 + 8x + 3x + -5x = 0 Combine like terms: 8x + 3x = 11x -5 + 11x + -5x = 0 Combine like terms: 11x + -5x = 6x -5 + 6x = 0 Solving -5 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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