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Simplifying 2(4x + -2) + -1(5x + -3) = 0 Reorder the terms: 2(-2 + 4x) + -1(5x + -3) = 0 (-2 * 2 + 4x * 2) + -1(5x + -3) = 0 (-4 + 8x) + -1(5x + -3) = 0 Reorder the terms: -4 + 8x + -1(-3 + 5x) = 0 -4 + 8x + (-3 * -1 + 5x * -1) = 0 -4 + 8x + (3 + -5x) = 0 Reorder the terms: -4 + 3 + 8x + -5x = 0 Combine like terms: -4 + 3 = -1 -1 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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