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Simplifying 0 = (8x7) + -1(56x6) Remove parenthesis around (56x6) 0 = (8x7) + -1 * 56x6 Multiply -1 * 56 0 = (8x7) + -56x6 Reorder the terms: 0 = -56x6 + (8x7) Solving 0 = -56x6 + (8x7) Solving for variable 'x'. Remove the zero: 56x6 + (-8x7) = -56x6 + (8x7) + 56x6 + (-8x7) Reorder the terms: 56x6 + (-8x7) = -56x6 + 56x6 + (8x7) + (-8x7) Combine like terms: -56x6 + 56x6 = 0 56x6 + (-8x7) = 0 + (8x7) + (-8x7) 56x6 + (-8x7) = (8x7) + (-8x7) Combine like terms: (8x7) + (-8x7) = 0 56x6 + (-8x7) = 0 Factor out the Greatest Common Factor (GCF), '8x6'. 8x6(7 + (-1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + (-1x))' equal to zero and attempt to solve: Simplifying 7 + (-1x) = 0 Solving 7 + (-1x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + (-1x) = 0 + -7 Combine like terms: 7 + -7 = 0 0 + (-1x) = 0 + -7 (-1x) = 0 + -7 Combine like terms: 0 + -7 = -7 (-1x) = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {7}
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