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Simplifying 4(7x + -8) + 6(5x + 10) = 0 Reorder the terms: 4(-8 + 7x) + 6(5x + 10) = 0 (-8 * 4 + 7x * 4) + 6(5x + 10) = 0 (-32 + 28x) + 6(5x + 10) = 0 Reorder the terms: -32 + 28x + 6(10 + 5x) = 0 -32 + 28x + (10 * 6 + 5x * 6) = 0 -32 + 28x + (60 + 30x) = 0 Reorder the terms: -32 + 60 + 28x + 30x = 0 Combine like terms: -32 + 60 = 28 28 + 28x + 30x = 0 Combine like terms: 28x + 30x = 58x 28 + 58x = 0 Solving 28 + 58x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 58x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 58x = 0 + -28 58x = 0 + -28 Combine like terms: 0 + -28 = -28 58x = -28 Divide each side by '58'. x = -0.4827586207 Simplifying x = -0.4827586207
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