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Simplifying 4(2 + -5x) = 3 + -1(4 + -1x) (2 * 4 + -5x * 4) = 3 + -1(4 + -1x) (8 + -20x) = 3 + -1(4 + -1x) 8 + -20x = 3 + (4 * -1 + -1x * -1) 8 + -20x = 3 + (-4 + 1x) Combine like terms: 3 + -4 = -1 8 + -20x = -1 + 1x Solving 8 + -20x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -20x + -1x = -1 + 1x + -1x Combine like terms: -20x + -1x = -21x 8 + -21x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -21x = -1 + 0 8 + -21x = -1 Add '-8' to each side of the equation. 8 + -8 + -21x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -21x = -1 + -8 -21x = -1 + -8 Combine like terms: -1 + -8 = -9 -21x = -9 Divide each side by '-21'. x = 0.4285714286 Simplifying x = 0.4285714286
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