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Simplifying 15 + -12y + 39y + -18x = 20 + -16x + -100 Reorder the terms: 15 + -18x + -12y + 39y = 20 + -16x + -100 Combine like terms: -12y + 39y = 27y 15 + -18x + 27y = 20 + -16x + -100 Reorder the terms: 15 + -18x + 27y = 20 + -100 + -16x Combine like terms: 20 + -100 = -80 15 + -18x + 27y = -80 + -16x Solving 15 + -18x + 27y = -80 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + -18x + 16x + 27y = -80 + -16x + 16x Combine like terms: -18x + 16x = -2x 15 + -2x + 27y = -80 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + -2x + 27y = -80 + 0 15 + -2x + 27y = -80 Add '-15' to each side of the equation. 15 + -2x + -15 + 27y = -80 + -15 Reorder the terms: 15 + -15 + -2x + 27y = -80 + -15 Combine like terms: 15 + -15 = 0 0 + -2x + 27y = -80 + -15 -2x + 27y = -80 + -15 Combine like terms: -80 + -15 = -95 -2x + 27y = -95 Add '-27y' to each side of the equation. -2x + 27y + -27y = -95 + -27y Combine like terms: 27y + -27y = 0 -2x + 0 = -95 + -27y -2x = -95 + -27y Divide each side by '-2'. x = 47.5 + 13.5y Simplifying x = 47.5 + 13.5y
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