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Simplifying (x + 1) * 2 + 6 = 42forx Reorder the terms: (1 + x) * 2 + 6 = 42forx Reorder the terms for easier multiplication: 2(1 + x) + 6 = 42forx (1 * 2 + x * 2) + 6 = 42forx (2 + 2x) + 6 = 42forx Reorder the terms: 2 + 6 + 2x = 42forx Combine like terms: 2 + 6 = 8 8 + 2x = 42forx Solving 8 + 2x = 42forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42forx' to each side of the equation. 8 + -42forx + 2x = 42forx + -42forx Combine like terms: 42forx + -42forx = 0 8 + -42forx + 2x = 0 Add '-8' to each side of the equation. 8 + -42forx + -8 + 2x = 0 + -8 Reorder the terms: 8 + -8 + -42forx + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -42forx + 2x = 0 + -8 -42forx + 2x = 0 + -8 Combine like terms: 0 + -8 = -8 -42forx + 2x = -8 Reorder the terms: 8 + -42forx + 2x = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -42forx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -21forx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -21forx + x)' equal to zero and attempt to solve: Simplifying 4 + -21forx + x = 0 Solving 4 + -21forx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -21forx + -4 + x = 0 + -4 Reorder the terms: 4 + -4 + -21forx + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -21forx + x = 0 + -4 -21forx + x = 0 + -4 Combine like terms: 0 + -4 = -4 -21forx + x = -4 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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