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Simplifying 18x + 6y + 3 = 30x + -18y + -5 Reorder the terms: 3 + 18x + 6y = 30x + -18y + -5 Reorder the terms: 3 + 18x + 6y = -5 + 30x + -18y Solving 3 + 18x + 6y = -5 + 30x + -18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 3 + 18x + -30x + 6y = -5 + 30x + -30x + -18y Combine like terms: 18x + -30x = -12x 3 + -12x + 6y = -5 + 30x + -30x + -18y Combine like terms: 30x + -30x = 0 3 + -12x + 6y = -5 + 0 + -18y 3 + -12x + 6y = -5 + -18y Add '-3' to each side of the equation. 3 + -12x + -3 + 6y = -5 + -3 + -18y Reorder the terms: 3 + -3 + -12x + 6y = -5 + -3 + -18y Combine like terms: 3 + -3 = 0 0 + -12x + 6y = -5 + -3 + -18y -12x + 6y = -5 + -3 + -18y Combine like terms: -5 + -3 = -8 -12x + 6y = -8 + -18y Add '-6y' to each side of the equation. -12x + 6y + -6y = -8 + -18y + -6y Combine like terms: 6y + -6y = 0 -12x + 0 = -8 + -18y + -6y -12x = -8 + -18y + -6y Combine like terms: -18y + -6y = -24y -12x = -8 + -24y Divide each side by '-12'. x = 0.6666666667 + 2y Simplifying x = 0.6666666667 + 2y
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