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Simplifying 5(3x + 8) + -8x = 0 Reorder the terms: 5(8 + 3x) + -8x = 0 (8 * 5 + 3x * 5) + -8x = 0 (40 + 15x) + -8x = 0 Combine like terms: 15x + -8x = 7x 40 + 7x = 0 Solving 40 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 0 + -40 7x = 0 + -40 Combine like terms: 0 + -40 = -40 7x = -40 Divide each side by '7'. x = -5.714285714 Simplifying x = -5.714285714
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