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Simplifying 2x + 6 = 6x + -10findx Reorder the terms: 6 + 2x = 6x + -10findx Reorder the terms: 6 + 2x = -10dfinx + 6x Solving 6 + 2x = -10dfinx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10dfinx' to each side of the equation. 6 + 10dfinx + 2x = -10dfinx + 10dfinx + 6x Combine like terms: -10dfinx + 10dfinx = 0 6 + 10dfinx + 2x = 0 + 6x 6 + 10dfinx + 2x = 6x Add '-6x' to each side of the equation. 6 + 10dfinx + 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x 6 + 10dfinx + -4x = 6x + -6x Combine like terms: 6x + -6x = 0 6 + 10dfinx + -4x = 0 Add '-6' to each side of the equation. 6 + 10dfinx + -6 + -4x = 0 + -6 Reorder the terms: 6 + -6 + 10dfinx + -4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10dfinx + -4x = 0 + -6 10dfinx + -4x = 0 + -6 Combine like terms: 0 + -6 = -6 10dfinx + -4x = -6 Reorder the terms: 6 + 10dfinx + -4x = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 10dfinx + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 5dfinx + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 5dfinx + -2x)' equal to zero and attempt to solve: Simplifying 3 + 5dfinx + -2x = 0 Solving 3 + 5dfinx + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5dfinx + -3 + -2x = 0 + -3 Reorder the terms: 3 + -3 + 5dfinx + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5dfinx + -2x = 0 + -3 5dfinx + -2x = 0 + -3 Combine like terms: 0 + -3 = -3 5dfinx + -2x = -3 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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