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Simplifying 3x + 2 + 5times(x + -1) = 8x + 17 Reorder the terms: 3x + 2 + 5eimst(-1 + x) = 8x + 17 3x + 2 + (-1 * 5eimst + x * 5eimst) = 8x + 17 3x + 2 + (-5eimst + 5eimstx) = 8x + 17 Reorder the terms: 2 + -5eimst + 5eimstx + 3x = 8x + 17 Reorder the terms: 2 + -5eimst + 5eimstx + 3x = 17 + 8x Solving 2 + -5eimst + 5eimstx + 3x = 17 + 8x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5eimst + 5eimstx + -2 + 3x = 17 + -2 + 8x Reorder the terms: 2 + -2 + -5eimst + 5eimstx + 3x = 17 + -2 + 8x Combine like terms: 2 + -2 = 0 0 + -5eimst + 5eimstx + 3x = 17 + -2 + 8x -5eimst + 5eimstx + 3x = 17 + -2 + 8x Combine like terms: 17 + -2 = 15 -5eimst + 5eimstx + 3x = 15 + 8x Add '-3x' to each side of the equation. -5eimst + 5eimstx + 3x + -3x = 15 + 8x + -3x Combine like terms: 3x + -3x = 0 -5eimst + 5eimstx + 0 = 15 + 8x + -3x -5eimst + 5eimstx = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x -5eimst + 5eimstx = 15 + 5x Reorder the terms: -15 + -5eimst + 5eimstx + -5x = 15 + 5x + -15 + -5x Reorder the terms: -15 + -5eimst + 5eimstx + -5x = 15 + -15 + 5x + -5x Combine like terms: 15 + -15 = 0 -15 + -5eimst + 5eimstx + -5x = 0 + 5x + -5x -15 + -5eimst + 5eimstx + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -5eimst + 5eimstx + -5x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -1eimst + eimstx + -1x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -1eimst + eimstx + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1eimst + eimstx + -1x = 0 Solving -3 + -1eimst + eimstx + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1eimst + eimstx + 3 + -1x = 0 + 3 Reorder the terms: -3 + 3 + -1eimst + eimstx + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1eimst + eimstx + -1x = 0 + 3 -1eimst + eimstx + -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1eimst + eimstx + -1x = 3 Add 'x' to each side of the equation. -1eimst + eimstx + -1x + x = 3 + x Combine like terms: -1x + x = 0 -1eimst + eimstx + 0 = 3 + x -1eimst + eimstx = 3 + x 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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