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Simplifying 3x + 2(-20 + -1y) = -52 3x + (-20 * 2 + -1y * 2) = -52 3x + (-40 + -2y) = -52 Reorder the terms: -40 + 3x + -2y = -52 Solving -40 + 3x + -2y = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 3x + 40 + -2y = -52 + 40 Reorder the terms: -40 + 40 + 3x + -2y = -52 + 40 Combine like terms: -40 + 40 = 0 0 + 3x + -2y = -52 + 40 3x + -2y = -52 + 40 Combine like terms: -52 + 40 = -12 3x + -2y = -12 Add '2y' to each side of the equation. 3x + -2y + 2y = -12 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = -12 + 2y 3x = -12 + 2y Divide each side by '3'. x = -4 + 0.6666666667y Simplifying x = -4 + 0.6666666667y
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