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Simplifying 5(3x + 2) + -2(4x + -1) = 0 Reorder the terms: 5(2 + 3x) + -2(4x + -1) = 0 (2 * 5 + 3x * 5) + -2(4x + -1) = 0 (10 + 15x) + -2(4x + -1) = 0 Reorder the terms: 10 + 15x + -2(-1 + 4x) = 0 10 + 15x + (-1 * -2 + 4x * -2) = 0 10 + 15x + (2 + -8x) = 0 Reorder the terms: 10 + 2 + 15x + -8x = 0 Combine like terms: 10 + 2 = 12 12 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x 12 + 7x = 0 Solving 12 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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