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Simplifying 5(3x + 2) + -4(2x + -5) = 0 Reorder the terms: 5(2 + 3x) + -4(2x + -5) = 0 (2 * 5 + 3x * 5) + -4(2x + -5) = 0 (10 + 15x) + -4(2x + -5) = 0 Reorder the terms: 10 + 15x + -4(-5 + 2x) = 0 10 + 15x + (-5 * -4 + 2x * -4) = 0 10 + 15x + (20 + -8x) = 0 Reorder the terms: 10 + 20 + 15x + -8x = 0 Combine like terms: 10 + 20 = 30 30 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x 30 + 7x = 0 Solving 30 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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