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Simplifying x + x + 20 + 2X(x + 20) = 160 Reorder the terms: x + x + 20 + 2X(20 + x) = 160 x + x + 20 + (20 * 2X + x * 2X) = 160 x + x + 20 + (40X + 2xX) = 160 Reorder the terms: 20 + 40X + x + x + 2xX = 160 Combine like terms: x + x = 2x 20 + 40X + 2x + 2xX = 160 Solving 20 + 40X + 2x + 2xX = 160 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 40X + 2x + -20 + 2xX = 160 + -20 Reorder the terms: 20 + -20 + 40X + 2x + 2xX = 160 + -20 Combine like terms: 20 + -20 = 0 0 + 40X + 2x + 2xX = 160 + -20 40X + 2x + 2xX = 160 + -20 Combine like terms: 160 + -20 = 140 40X + 2x + 2xX = 140 Add '-2x' to each side of the equation. 40X + 2x + -2x + 2xX = 140 + -2x Combine like terms: 2x + -2x = 0 40X + 0 + 2xX = 140 + -2x 40X + 2xX = 140 + -2x Reorder the terms: -140 + 40X + 2x + 2xX = 140 + -2x + -140 + 2x Reorder the terms: -140 + 40X + 2x + 2xX = 140 + -140 + -2x + 2x Combine like terms: 140 + -140 = 0 -140 + 40X + 2x + 2xX = 0 + -2x + 2x -140 + 40X + 2x + 2xX = -2x + 2x Combine like terms: -2x + 2x = 0 -140 + 40X + 2x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + 20X + x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-70 + 20X + x + xX)' equal to zero and attempt to solve: Simplifying -70 + 20X + x + xX = 0 Solving -70 + 20X + x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 20X + x + 70 + xX = 0 + 70 Reorder the terms: -70 + 70 + 20X + x + xX = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 20X + x + xX = 0 + 70 20X + x + xX = 0 + 70 Combine like terms: 0 + 70 = 70 20X + x + xX = 70 Add '-1x' to each side of the equation. 20X + x + -1x + xX = 70 + -1x Combine like terms: x + -1x = 0 20X + 0 + xX = 70 + -1x 20X + xX = 70 + -1x 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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