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Simplifying 3x + 18y + -1(2x + y) + 9 = 12 3x + 18y + (2x * -1 + y * -1) + 9 = 12 3x + 18y + (-2x + -1y) + 9 = 12 Reorder the terms: 9 + 3x + -2x + 18y + -1y = 12 Combine like terms: 3x + -2x = 1x 9 + 1x + 18y + -1y = 12 Combine like terms: 18y + -1y = 17y 9 + 1x + 17y = 12 Solving 9 + 1x + 17y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 1x + -9 + 17y = 12 + -9 Reorder the terms: 9 + -9 + 1x + 17y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x + 17y = 12 + -9 1x + 17y = 12 + -9 Combine like terms: 12 + -9 = 3 1x + 17y = 3 Add '-17y' to each side of the equation. 1x + 17y + -17y = 3 + -17y Combine like terms: 17y + -17y = 0 1x + 0 = 3 + -17y 1x = 3 + -17y Divide each side by '1'. x = 3 + -17y Simplifying x = 3 + -17y
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