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Simplifying (5 + -2x)(4 + -1x) + -2x(x + 6) = 1 + -1x Multiply (5 + -2x) * (4 + -1x) (5(4 + -1x) + -2x * (4 + -1x)) + -2x(x + 6) = 1 + -1x ((4 * 5 + -1x * 5) + -2x * (4 + -1x)) + -2x(x + 6) = 1 + -1x ((20 + -5x) + -2x * (4 + -1x)) + -2x(x + 6) = 1 + -1x (20 + -5x + (4 * -2x + -1x * -2x)) + -2x(x + 6) = 1 + -1x (20 + -5x + (-8x + 2x2)) + -2x(x + 6) = 1 + -1x Combine like terms: -5x + -8x = -13x (20 + -13x + 2x2) + -2x(x + 6) = 1 + -1x Reorder the terms: 20 + -13x + 2x2 + -2x(6 + x) = 1 + -1x 20 + -13x + 2x2 + (6 * -2x + x * -2x) = 1 + -1x 20 + -13x + 2x2 + (-12x + -2x2) = 1 + -1x Reorder the terms: 20 + -13x + -12x + 2x2 + -2x2 = 1 + -1x Combine like terms: -13x + -12x = -25x 20 + -25x + 2x2 + -2x2 = 1 + -1x Combine like terms: 2x2 + -2x2 = 0 20 + -25x + 0 = 1 + -1x 20 + -25x = 1 + -1x Solving 20 + -25x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + -25x + x = 1 + -1x + x Combine like terms: -25x + x = -24x 20 + -24x = 1 + -1x + x Combine like terms: -1x + x = 0 20 + -24x = 1 + 0 20 + -24x = 1 Add '-20' to each side of the equation. 20 + -20 + -24x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -24x = 1 + -20 -24x = 1 + -20 Combine like terms: 1 + -20 = -19 -24x = -19 Divide each side by '-24'. x = 0.7916666667 Simplifying x = 0.7916666667
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