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Simplifying 5(2X + 1) = 2(7X + 4) Reorder the terms: 5(1 + 2X) = 2(7X + 4) (1 * 5 + 2X * 5) = 2(7X + 4) (5 + 10X) = 2(7X + 4) Reorder the terms: 5 + 10X = 2(4 + 7X) 5 + 10X = (4 * 2 + 7X * 2) 5 + 10X = (8 + 14X) Solving 5 + 10X = 8 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. 5 + 10X + -14X = 8 + 14X + -14X Combine like terms: 10X + -14X = -4X 5 + -4X = 8 + 14X + -14X Combine like terms: 14X + -14X = 0 5 + -4X = 8 + 0 5 + -4X = 8 Add '-5' to each side of the equation. 5 + -5 + -4X = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -4X = 8 + -5 -4X = 8 + -5 Combine like terms: 8 + -5 = 3 -4X = 3 Divide each side by '-4'. X = -0.75 Simplifying X = -0.75
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