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Simplifying 3(x + -1y) + 20 = 4x + 7y + -17 (x * 3 + -1y * 3) + 20 = 4x + 7y + -17 (3x + -3y) + 20 = 4x + 7y + -17 Reorder the terms: 20 + 3x + -3y = 4x + 7y + -17 Reorder the terms: 20 + 3x + -3y = -17 + 4x + 7y Solving 20 + 3x + -3y = -17 + 4x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 3x + -4x + -3y = -17 + 4x + -4x + 7y Combine like terms: 3x + -4x = -1x 20 + -1x + -3y = -17 + 4x + -4x + 7y Combine like terms: 4x + -4x = 0 20 + -1x + -3y = -17 + 0 + 7y 20 + -1x + -3y = -17 + 7y Add '-20' to each side of the equation. 20 + -1x + -20 + -3y = -17 + -20 + 7y Reorder the terms: 20 + -20 + -1x + -3y = -17 + -20 + 7y Combine like terms: 20 + -20 = 0 0 + -1x + -3y = -17 + -20 + 7y -1x + -3y = -17 + -20 + 7y Combine like terms: -17 + -20 = -37 -1x + -3y = -37 + 7y Add '3y' to each side of the equation. -1x + -3y + 3y = -37 + 7y + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -37 + 7y + 3y -1x = -37 + 7y + 3y Combine like terms: 7y + 3y = 10y -1x = -37 + 10y Divide each side by '-1'. x = 37 + -10y Simplifying x = 37 + -10y
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