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Simplifying 6x + 3y(-1x + 13) = 45 Reorder the terms: 6x + 3y(13 + -1x) = 45 6x + (13 * 3y + -1x * 3y) = 45 Reorder the terms: 6x + (-3xy + 39y) = 45 6x + (-3xy + 39y) = 45 Solving 6x + -3xy + 39y = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39y' to each side of the equation. 6x + -3xy + 39y + -39y = 45 + -39y Combine like terms: 39y + -39y = 0 6x + -3xy + 0 = 45 + -39y 6x + -3xy = 45 + -39y Reorder the terms: -45 + 6x + -3xy + 39y = 45 + -39y + -45 + 39y Reorder the terms: -45 + 6x + -3xy + 39y = 45 + -45 + -39y + 39y Combine like terms: 45 + -45 = 0 -45 + 6x + -3xy + 39y = 0 + -39y + 39y -45 + 6x + -3xy + 39y = -39y + 39y Combine like terms: -39y + 39y = 0 -45 + 6x + -3xy + 39y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 2x + -1xy + 13y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + 2x + -1xy + 13y)' equal to zero and attempt to solve: Simplifying -15 + 2x + -1xy + 13y = 0 Solving -15 + 2x + -1xy + 13y = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 2x + -1xy + 15 + 13y = 0 + 15 Reorder the terms: -15 + 15 + 2x + -1xy + 13y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x + -1xy + 13y = 0 + 15 2x + -1xy + 13y = 0 + 15 Combine like terms: 0 + 15 = 15 2x + -1xy + 13y = 15 Add '-13y' to each side of the equation. 2x + -1xy + 13y + -13y = 15 + -13y Combine like terms: 13y + -13y = 0 2x + -1xy + 0 = 15 + -13y 2x + -1xy = 15 + -13y 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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