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Simplifying -39(X + -1) + 8(X + -3) = 6X + 7 + -5X Reorder the terms: -39(-1 + X) + 8(X + -3) = 6X + 7 + -5X (-1 * -39 + X * -39) + 8(X + -3) = 6X + 7 + -5X (39 + -39X) + 8(X + -3) = 6X + 7 + -5X Reorder the terms: 39 + -39X + 8(-3 + X) = 6X + 7 + -5X 39 + -39X + (-3 * 8 + X * 8) = 6X + 7 + -5X 39 + -39X + (-24 + 8X) = 6X + 7 + -5X Reorder the terms: 39 + -24 + -39X + 8X = 6X + 7 + -5X Combine like terms: 39 + -24 = 15 15 + -39X + 8X = 6X + 7 + -5X Combine like terms: -39X + 8X = -31X 15 + -31X = 6X + 7 + -5X Reorder the terms: 15 + -31X = 7 + 6X + -5X Combine like terms: 6X + -5X = 1X 15 + -31X = 7 + 1X Solving 15 + -31X = 7 + 1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 15 + -31X + -1X = 7 + 1X + -1X Combine like terms: -31X + -1X = -32X 15 + -32X = 7 + 1X + -1X Combine like terms: 1X + -1X = 0 15 + -32X = 7 + 0 15 + -32X = 7 Add '-15' to each side of the equation. 15 + -15 + -32X = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -32X = 7 + -15 -32X = 7 + -15 Combine like terms: 7 + -15 = -8 -32X = -8 Divide each side by '-32'. X = 0.25 Simplifying X = 0.25
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