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Simplifying 5(X + -3) + 1 = -8(X + -1) Reorder the terms: 5(-3 + X) + 1 = -8(X + -1) (-3 * 5 + X * 5) + 1 = -8(X + -1) (-15 + 5X) + 1 = -8(X + -1) Reorder the terms: -15 + 1 + 5X = -8(X + -1) Combine like terms: -15 + 1 = -14 -14 + 5X = -8(X + -1) Reorder the terms: -14 + 5X = -8(-1 + X) -14 + 5X = (-1 * -8 + X * -8) -14 + 5X = (8 + -8X) Solving -14 + 5X = 8 + -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. -14 + 5X + 8X = 8 + -8X + 8X Combine like terms: 5X + 8X = 13X -14 + 13X = 8 + -8X + 8X Combine like terms: -8X + 8X = 0 -14 + 13X = 8 + 0 -14 + 13X = 8 Add '14' to each side of the equation. -14 + 14 + 13X = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 13X = 8 + 14 13X = 8 + 14 Combine like terms: 8 + 14 = 22 13X = 22 Divide each side by '13'. X = 1.692307692 Simplifying X = 1.692307692
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