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Simplifying 5(2X + 1) = 6 + -4(2X + -1) Reorder the terms: 5(1 + 2X) = 6 + -4(2X + -1) (1 * 5 + 2X * 5) = 6 + -4(2X + -1) (5 + 10X) = 6 + -4(2X + -1) Reorder the terms: 5 + 10X = 6 + -4(-1 + 2X) 5 + 10X = 6 + (-1 * -4 + 2X * -4) 5 + 10X = 6 + (4 + -8X) Combine like terms: 6 + 4 = 10 5 + 10X = 10 + -8X Solving 5 + 10X = 10 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 5 + 10X + 8X = 10 + -8X + 8X Combine like terms: 10X + 8X = 18X 5 + 18X = 10 + -8X + 8X Combine like terms: -8X + 8X = 0 5 + 18X = 10 + 0 5 + 18X = 10 Add '-5' to each side of the equation. 5 + -5 + 18X = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 18X = 10 + -5 18X = 10 + -5 Combine like terms: 10 + -5 = 5 18X = 5 Divide each side by '18'. X = 0.2777777778 Simplifying X = 0.2777777778
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