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Simplifying 21y + -14x + 23 = 9x + -38 Reorder the terms: 23 + -14x + 21y = 9x + -38 Reorder the terms: 23 + -14x + 21y = -38 + 9x Solving 23 + -14x + 21y = -38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 23 + -14x + -9x + 21y = -38 + 9x + -9x Combine like terms: -14x + -9x = -23x 23 + -23x + 21y = -38 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + -23x + 21y = -38 + 0 23 + -23x + 21y = -38 Add '-23' to each side of the equation. 23 + -23x + -23 + 21y = -38 + -23 Reorder the terms: 23 + -23 + -23x + 21y = -38 + -23 Combine like terms: 23 + -23 = 0 0 + -23x + 21y = -38 + -23 -23x + 21y = -38 + -23 Combine like terms: -38 + -23 = -61 -23x + 21y = -61 Add '-21y' to each side of the equation. -23x + 21y + -21y = -61 + -21y Combine like terms: 21y + -21y = 0 -23x + 0 = -61 + -21y -23x = -61 + -21y Divide each side by '-23'. x = 2.652173913 + 0.9130434783y Simplifying x = 2.652173913 + 0.9130434783y
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