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Simplifying 3(x + -9) + -1y = 2x + -7 Reorder the terms: 3(-9 + x) + -1y = 2x + -7 (-9 * 3 + x * 3) + -1y = 2x + -7 (-27 + 3x) + -1y = 2x + -7 Reorder the terms: -27 + 3x + -1y = -7 + 2x Solving -27 + 3x + -1y = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 3x + -2x + -1y = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x + -1y = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x + -1y = -7 + 0 -27 + 1x + -1y = -7 Add '27' to each side of the equation. -27 + 1x + 27 + -1y = -7 + 27 Reorder the terms: -27 + 27 + 1x + -1y = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 1x + -1y = -7 + 27 1x + -1y = -7 + 27 Combine like terms: -7 + 27 = 20 1x + -1y = 20 Add 'y' to each side of the equation. 1x + -1y + y = 20 + y Combine like terms: -1y + y = 0 1x + 0 = 20 + y 1x = 20 + y Divide each side by '1'. x = 20 + y Simplifying x = 20 + y
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