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