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Simplifying 4x + 78 = 10x + 12whatisx Reorder the terms: 78 + 4x = 10x + 12whatisx Reorder the terms: 78 + 4x = 12ahistwx + 10x Solving 78 + 4x = 12ahistwx + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12ahistwx' to each side of the equation. 78 + -12ahistwx + 4x = 12ahistwx + -12ahistwx + 10x Combine like terms: 12ahistwx + -12ahistwx = 0 78 + -12ahistwx + 4x = 0 + 10x 78 + -12ahistwx + 4x = 10x Add '-10x' to each side of the equation. 78 + -12ahistwx + 4x + -10x = 10x + -10x Combine like terms: 4x + -10x = -6x 78 + -12ahistwx + -6x = 10x + -10x Combine like terms: 10x + -10x = 0 78 + -12ahistwx + -6x = 0 Add '-78' to each side of the equation. 78 + -12ahistwx + -78 + -6x = 0 + -78 Reorder the terms: 78 + -78 + -12ahistwx + -6x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -12ahistwx + -6x = 0 + -78 -12ahistwx + -6x = 0 + -78 Combine like terms: 0 + -78 = -78 -12ahistwx + -6x = -78 Reorder the terms: 78 + -12ahistwx + -6x = -78 + 78 Combine like terms: -78 + 78 = 0 78 + -12ahistwx + -6x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(13 + -2ahistwx + -1x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(13 + -2ahistwx + -1x)' equal to zero and attempt to solve: Simplifying 13 + -2ahistwx + -1x = 0 Solving 13 + -2ahistwx + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -2ahistwx + -13 + -1x = 0 + -13 Reorder the terms: 13 + -13 + -2ahistwx + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2ahistwx + -1x = 0 + -13 -2ahistwx + -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -2ahistwx + -1x = -13 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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