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Simplifying x(44 + -1x) = x(5 + 2) (44 * x + -1x * x) = x(5 + 2) (44x + -1x2) = x(5 + 2) Combine like terms: 5 + 2 = 7 44x + -1x2 = x(7) Reorder the terms for easier multiplication: 44x + -1x2 = 7x Solving 44x + -1x2 = 7x Solving for variable 'x'. Reorder the terms: 44x + -7x + -1x2 = 7x + -7x Combine like terms: 44x + -7x = 37x 37x + -1x2 = 7x + -7x Combine like terms: 7x + -7x = 0 37x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(37 + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(37 + -1x)' equal to zero and attempt to solve: Simplifying 37 + -1x = 0 Solving 37 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -1x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -1x = 0 + -37 -1x = 0 + -37 Combine like terms: 0 + -37 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37Solution
x = {0, 37}
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