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Simplifying 5X + 2(X + -1) = 7(8 + -1X) Reorder the terms: 5X + 2(-1 + X) = 7(8 + -1X) 5X + (-1 * 2 + X * 2) = 7(8 + -1X) 5X + (-2 + 2X) = 7(8 + -1X) Reorder the terms: -2 + 5X + 2X = 7(8 + -1X) Combine like terms: 5X + 2X = 7X -2 + 7X = 7(8 + -1X) -2 + 7X = (8 * 7 + -1X * 7) -2 + 7X = (56 + -7X) Solving -2 + 7X = 56 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. -2 + 7X + 7X = 56 + -7X + 7X Combine like terms: 7X + 7X = 14X -2 + 14X = 56 + -7X + 7X Combine like terms: -7X + 7X = 0 -2 + 14X = 56 + 0 -2 + 14X = 56 Add '2' to each side of the equation. -2 + 2 + 14X = 56 + 2 Combine like terms: -2 + 2 = 0 0 + 14X = 56 + 2 14X = 56 + 2 Combine like terms: 56 + 2 = 58 14X = 58 Divide each side by '14'. X = 4.142857143 Simplifying X = 4.142857143
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