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Simplifying x + 2(5 + -2x) + -1(4 + 5x) = 0 x + (5 * 2 + -2x * 2) + -1(4 + 5x) = 0 x + (10 + -4x) + -1(4 + 5x) = 0 x + 10 + -4x + (4 * -1 + 5x * -1) = 0 x + 10 + -4x + (-4 + -5x) = 0 Reorder the terms: 10 + -4 + x + -4x + -5x = 0 Combine like terms: 10 + -4 = 6 6 + x + -4x + -5x = 0 Combine like terms: x + -4x = -3x 6 + -3x + -5x = 0 Combine like terms: -3x + -5x = -8x 6 + -8x = 0 Solving 6 + -8x = 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 + -8x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 0 + -6 -8x = 0 + -6 Combine like terms: 0 + -6 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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