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Simplifying 6(X + -1) = 7(X + -1) Reorder the terms: 6(-1 + X) = 7(X + -1) (-1 * 6 + X * 6) = 7(X + -1) (-6 + 6X) = 7(X + -1) Reorder the terms: -6 + 6X = 7(-1 + X) -6 + 6X = (-1 * 7 + X * 7) -6 + 6X = (-7 + 7X) Solving -6 + 6X = -7 + 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. -6 + 6X + -7X = -7 + 7X + -7X Combine like terms: 6X + -7X = -1X -6 + -1X = -7 + 7X + -7X Combine like terms: 7X + -7X = 0 -6 + -1X = -7 + 0 -6 + -1X = -7 Add '6' to each side of the equation. -6 + 6 + -1X = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -1X = -7 + 6 -1X = -7 + 6 Combine like terms: -7 + 6 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1
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