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Simplifying X + 8 = 5(3X + -2) Reorder the terms: 8 + X = 5(3X + -2) Reorder the terms: 8 + X = 5(-2 + 3X) 8 + X = (-2 * 5 + 3X * 5) 8 + X = (-10 + 15X) Solving 8 + X = -10 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 8 + X + -15X = -10 + 15X + -15X Combine like terms: X + -15X = -14X 8 + -14X = -10 + 15X + -15X Combine like terms: 15X + -15X = 0 8 + -14X = -10 + 0 8 + -14X = -10 Add '-8' to each side of the equation. 8 + -8 + -14X = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -14X = -10 + -8 -14X = -10 + -8 Combine like terms: -10 + -8 = -18 -14X = -18 Divide each side by '-14'. X = 1.285714286 Simplifying X = 1.285714286
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