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Simplifying 5(2X + 1) = 1 + -1(4X + 9) Reorder the terms: 5(1 + 2X) = 1 + -1(4X + 9) (1 * 5 + 2X * 5) = 1 + -1(4X + 9) (5 + 10X) = 1 + -1(4X + 9) Reorder the terms: 5 + 10X = 1 + -1(9 + 4X) 5 + 10X = 1 + (9 * -1 + 4X * -1) 5 + 10X = 1 + (-9 + -4X) Combine like terms: 1 + -9 = -8 5 + 10X = -8 + -4X Solving 5 + 10X = -8 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. 5 + 10X + 4X = -8 + -4X + 4X Combine like terms: 10X + 4X = 14X 5 + 14X = -8 + -4X + 4X Combine like terms: -4X + 4X = 0 5 + 14X = -8 + 0 5 + 14X = -8 Add '-5' to each side of the equation. 5 + -5 + 14X = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 14X = -8 + -5 14X = -8 + -5 Combine like terms: -8 + -5 = -13 14X = -13 Divide each side by '14'. X = -0.9285714286 Simplifying X = -0.9285714286
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