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Simplifying 15 + -12y + 39y + -18x = 20 + -16y + -100 Reorder the terms: 15 + -18x + -12y + 39y = 20 + -16y + -100 Combine like terms: -12y + 39y = 27y 15 + -18x + 27y = 20 + -16y + -100 Reorder the terms: 15 + -18x + 27y = 20 + -100 + -16y Combine like terms: 20 + -100 = -80 15 + -18x + 27y = -80 + -16y Solving 15 + -18x + 27y = -80 + -16y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -18x + -15 + 27y = -80 + -15 + -16y Reorder the terms: 15 + -15 + -18x + 27y = -80 + -15 + -16y Combine like terms: 15 + -15 = 0 0 + -18x + 27y = -80 + -15 + -16y -18x + 27y = -80 + -15 + -16y Combine like terms: -80 + -15 = -95 -18x + 27y = -95 + -16y Add '-27y' to each side of the equation. -18x + 27y + -27y = -95 + -16y + -27y Combine like terms: 27y + -27y = 0 -18x + 0 = -95 + -16y + -27y -18x = -95 + -16y + -27y Combine like terms: -16y + -27y = -43y -18x = -95 + -43y Divide each side by '-18'. x = 5.277777778 + 2.388888889y Simplifying x = 5.277777778 + 2.388888889y
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