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Simplifying 5(3x + -2) + -4(2x + -1) = 0 Reorder the terms: 5(-2 + 3x) + -4(2x + -1) = 0 (-2 * 5 + 3x * 5) + -4(2x + -1) = 0 (-10 + 15x) + -4(2x + -1) = 0 Reorder the terms: -10 + 15x + -4(-1 + 2x) = 0 -10 + 15x + (-1 * -4 + 2x * -4) = 0 -10 + 15x + (4 + -8x) = 0 Reorder the terms: -10 + 4 + 15x + -8x = 0 Combine like terms: -10 + 4 = -6 -6 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -6 + 7x = 0 Solving -6 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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