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Simplifying 3(x + -2) + -5(2x + -1) = 0 Reorder the terms: 3(-2 + x) + -5(2x + -1) = 0 (-2 * 3 + x * 3) + -5(2x + -1) = 0 (-6 + 3x) + -5(2x + -1) = 0 Reorder the terms: -6 + 3x + -5(-1 + 2x) = 0 -6 + 3x + (-1 * -5 + 2x * -5) = 0 -6 + 3x + (5 + -10x) = 0 Reorder the terms: -6 + 5 + 3x + -10x = 0 Combine like terms: -6 + 5 = -1 -1 + 3x + -10x = 0 Combine like terms: 3x + -10x = -7x -1 + -7x = 0 Solving -1 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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