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Simplifying 6(X + -8) + -4x = 5(X + -1) + -1 Reorder the terms: 6(-8 + X) + -4x = 5(X + -1) + -1 (-8 * 6 + X * 6) + -4x = 5(X + -1) + -1 (-48 + 6X) + -4x = 5(X + -1) + -1 Reorder the terms: -48 + 6X + -4x = 5(-1 + X) + -1 -48 + 6X + -4x = (-1 * 5 + X * 5) + -1 -48 + 6X + -4x = (-5 + 5X) + -1 Reorder the terms: -48 + 6X + -4x = -5 + -1 + 5X Combine like terms: -5 + -1 = -6 -48 + 6X + -4x = -6 + 5X Solving -48 + 6X + -4x = -6 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -48 + 6X + -5X + -4x = -6 + 5X + -5X Combine like terms: 6X + -5X = 1X -48 + 1X + -4x = -6 + 5X + -5X Combine like terms: 5X + -5X = 0 -48 + 1X + -4x = -6 + 0 -48 + 1X + -4x = -6 Add '48' to each side of the equation. -48 + 1X + 48 + -4x = -6 + 48 Reorder the terms: -48 + 48 + 1X + -4x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 1X + -4x = -6 + 48 1X + -4x = -6 + 48 Combine like terms: -6 + 48 = 42 1X + -4x = 42 Add '4x' to each side of the equation. 1X + -4x + 4x = 42 + 4x Combine like terms: -4x + 4x = 0 1X + 0 = 42 + 4x 1X = 42 + 4x Divide each side by '1'. X = 42 + 4x Simplifying X = 42 + 4x
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