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Simplifying 4(3x + -1) + -2(x + -2) = 5(2 + -8x) Reorder the terms: 4(-1 + 3x) + -2(x + -2) = 5(2 + -8x) (-1 * 4 + 3x * 4) + -2(x + -2) = 5(2 + -8x) (-4 + 12x) + -2(x + -2) = 5(2 + -8x) Reorder the terms: -4 + 12x + -2(-2 + x) = 5(2 + -8x) -4 + 12x + (-2 * -2 + x * -2) = 5(2 + -8x) -4 + 12x + (4 + -2x) = 5(2 + -8x) Reorder the terms: -4 + 4 + 12x + -2x = 5(2 + -8x) Combine like terms: -4 + 4 = 0 0 + 12x + -2x = 5(2 + -8x) 12x + -2x = 5(2 + -8x) Combine like terms: 12x + -2x = 10x 10x = 5(2 + -8x) 10x = (2 * 5 + -8x * 5) 10x = (10 + -40x) Solving 10x = 10 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 10x + 40x = 10 + -40x + 40x Combine like terms: 10x + 40x = 50x 50x = 10 + -40x + 40x Combine like terms: -40x + 40x = 0 50x = 10 + 0 50x = 10 Divide each side by '50'. x = 0.2 Simplifying x = 0.2
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