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Simplifying 5 + 4(5X + -6) = 6 + -5(2X + 1) Reorder the terms: 5 + 4(-6 + 5X) = 6 + -5(2X + 1) 5 + (-6 * 4 + 5X * 4) = 6 + -5(2X + 1) 5 + (-24 + 20X) = 6 + -5(2X + 1) Combine like terms: 5 + -24 = -19 -19 + 20X = 6 + -5(2X + 1) Reorder the terms: -19 + 20X = 6 + -5(1 + 2X) -19 + 20X = 6 + (1 * -5 + 2X * -5) -19 + 20X = 6 + (-5 + -10X) Combine like terms: 6 + -5 = 1 -19 + 20X = 1 + -10X Solving -19 + 20X = 1 + -10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10X' to each side of the equation. -19 + 20X + 10X = 1 + -10X + 10X Combine like terms: 20X + 10X = 30X -19 + 30X = 1 + -10X + 10X Combine like terms: -10X + 10X = 0 -19 + 30X = 1 + 0 -19 + 30X = 1 Add '19' to each side of the equation. -19 + 19 + 30X = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 30X = 1 + 19 30X = 1 + 19 Combine like terms: 1 + 19 = 20 30X = 20 Divide each side by '30'. X = 0.6666666667 Simplifying X = 0.6666666667
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