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Simplifying 7x + 40 = 2x + -10findx Reorder the terms: 40 + 7x = 2x + -10findx Reorder the terms: 40 + 7x = -10dfinx + 2x Solving 40 + 7x = -10dfinx + 2x 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. 40 + 10dfinx + 7x = -10dfinx + 10dfinx + 2x Combine like terms: -10dfinx + 10dfinx = 0 40 + 10dfinx + 7x = 0 + 2x 40 + 10dfinx + 7x = 2x Add '-2x' to each side of the equation. 40 + 10dfinx + 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 40 + 10dfinx + 5x = 2x + -2x Combine like terms: 2x + -2x = 0 40 + 10dfinx + 5x = 0 Add '-40' to each side of the equation. 40 + 10dfinx + -40 + 5x = 0 + -40 Reorder the terms: 40 + -40 + 10dfinx + 5x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 10dfinx + 5x = 0 + -40 10dfinx + 5x = 0 + -40 Combine like terms: 0 + -40 = -40 10dfinx + 5x = -40 Reorder the terms: 40 + 10dfinx + 5x = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 10dfinx + 5x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(8 + 2dfinx + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + 2dfinx + x)' equal to zero and attempt to solve: Simplifying 8 + 2dfinx + x = 0 Solving 8 + 2dfinx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2dfinx + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + 2dfinx + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2dfinx + x = 0 + -8 2dfinx + x = 0 + -8 Combine like terms: 0 + -8 = -8 2dfinx + x = -8 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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