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Simplifying 8(4x + -9) = 4w(8x + 2) Reorder the terms: 8(-9 + 4x) = 4w(8x + 2) (-9 * 8 + 4x * 8) = 4w(8x + 2) (-72 + 32x) = 4w(8x + 2) Reorder the terms: -72 + 32x = 4w(2 + 8x) -72 + 32x = (2 * 4w + 8x * 4w) -72 + 32x = (8w + 32wx) Solving -72 + 32x = 8w + 32wx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32wx' to each side of the equation. -72 + -32wx + 32x = 8w + 32wx + -32wx Combine like terms: 32wx + -32wx = 0 -72 + -32wx + 32x = 8w + 0 -72 + -32wx + 32x = 8w Add '72' to each side of the equation. -72 + -32wx + 72 + 32x = 72 + 8w Reorder the terms: -72 + 72 + -32wx + 32x = 72 + 8w Combine like terms: -72 + 72 = 0 0 + -32wx + 32x = 72 + 8w -32wx + 32x = 72 + 8w Reorder the terms: -72 + -8w + -32wx + 32x = 72 + 8w + -72 + -8w Reorder the terms: -72 + -8w + -32wx + 32x = 72 + -72 + 8w + -8w Combine like terms: 72 + -72 = 0 -72 + -8w + -32wx + 32x = 0 + 8w + -8w -72 + -8w + -32wx + 32x = 8w + -8w Combine like terms: 8w + -8w = 0 -72 + -8w + -32wx + 32x = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-9 + -1w + -4wx + 4x) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-9 + -1w + -4wx + 4x)' equal to zero and attempt to solve: Simplifying -9 + -1w + -4wx + 4x = 0 Solving -9 + -1w + -4wx + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -1w + -4wx + 9 + 4x = 0 + 9 Reorder the terms: -9 + 9 + -1w + -4wx + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w + -4wx + 4x = 0 + 9 -1w + -4wx + 4x = 0 + 9 Combine like terms: 0 + 9 = 9 -1w + -4wx + 4x = 9 Add 'w' to each side of the equation. -1w + -4wx + w + 4x = 9 + w Reorder the terms: -1w + w + -4wx + 4x = 9 + w Combine like terms: -1w + w = 0 0 + -4wx + 4x = 9 + w -4wx + 4x = 9 + w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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