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Simplifying 5(2x + 4) + -3(5x + 8) = 0 Reorder the terms: 5(4 + 2x) + -3(5x + 8) = 0 (4 * 5 + 2x * 5) + -3(5x + 8) = 0 (20 + 10x) + -3(5x + 8) = 0 Reorder the terms: 20 + 10x + -3(8 + 5x) = 0 20 + 10x + (8 * -3 + 5x * -3) = 0 20 + 10x + (-24 + -15x) = 0 Reorder the terms: 20 + -24 + 10x + -15x = 0 Combine like terms: 20 + -24 = -4 -4 + 10x + -15x = 0 Combine like terms: 10x + -15x = -5x -4 + -5x = 0 Solving -4 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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