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Simplifying 3x + 5y + -30 = 3(y + -1x + 1) Reorder the terms: -30 + 3x + 5y = 3(y + -1x + 1) Reorder the terms: -30 + 3x + 5y = 3(1 + -1x + y) -30 + 3x + 5y = (1 * 3 + -1x * 3 + y * 3) -30 + 3x + 5y = (3 + -3x + 3y) Solving -30 + 3x + 5y = 3 + -3x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 3x + 3x + 5y = 3 + -3x + 3x + 3y Combine like terms: 3x + 3x = 6x -30 + 6x + 5y = 3 + -3x + 3x + 3y Combine like terms: -3x + 3x = 0 -30 + 6x + 5y = 3 + 0 + 3y -30 + 6x + 5y = 3 + 3y Add '30' to each side of the equation. -30 + 6x + 30 + 5y = 3 + 30 + 3y Reorder the terms: -30 + 30 + 6x + 5y = 3 + 30 + 3y Combine like terms: -30 + 30 = 0 0 + 6x + 5y = 3 + 30 + 3y 6x + 5y = 3 + 30 + 3y Combine like terms: 3 + 30 = 33 6x + 5y = 33 + 3y Add '-5y' to each side of the equation. 6x + 5y + -5y = 33 + 3y + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 33 + 3y + -5y 6x = 33 + 3y + -5y Combine like terms: 3y + -5y = -2y 6x = 33 + -2y Divide each side by '6'. x = 5.5 + -0.3333333333y Simplifying x = 5.5 + -0.3333333333y
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