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Simplifying 13x + -12y + 14z = 12y + 14z + 48x Reorder the terms: 13x + -12y + 14z = 48x + 12y + 14z Add '-14z' to each side of the equation. 13x + -12y + 14z + -14z = 48x + 12y + 14z + -14z Combine like terms: 14z + -14z = 0 13x + -12y + 0 = 48x + 12y + 14z + -14z 13x + -12y = 48x + 12y + 14z + -14z Combine like terms: 14z + -14z = 0 13x + -12y = 48x + 12y + 0 13x + -12y = 48x + 12y Solving 13x + -12y = 48x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 13x + -48x + -12y = 48x + -48x + 12y Combine like terms: 13x + -48x = -35x -35x + -12y = 48x + -48x + 12y Combine like terms: 48x + -48x = 0 -35x + -12y = 0 + 12y -35x + -12y = 12y Add '12y' to each side of the equation. -35x + -12y + 12y = 12y + 12y Combine like terms: -12y + 12y = 0 -35x + 0 = 12y + 12y -35x = 12y + 12y Combine like terms: 12y + 12y = 24y -35x = 24y Divide each side by '-35'. x = -0.6857142857y Simplifying x = -0.6857142857y
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