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Simplifying 2(4x + -3) + -1(5x + -1) = 0 Reorder the terms: 2(-3 + 4x) + -1(5x + -1) = 0 (-3 * 2 + 4x * 2) + -1(5x + -1) = 0 (-6 + 8x) + -1(5x + -1) = 0 Reorder the terms: -6 + 8x + -1(-1 + 5x) = 0 -6 + 8x + (-1 * -1 + 5x * -1) = 0 -6 + 8x + (1 + -5x) = 0 Reorder the terms: -6 + 1 + 8x + -5x = 0 Combine like terms: -6 + 1 = -5 -5 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -5 + 3x = 0 Solving -5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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