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Simplifying 3x + 6y + 5 = 30x + -1(5y) + 5 Reorder the terms: 5 + 3x + 6y = 30x + -1(5y) + 5 Remove parenthesis around (5y) 5 + 3x + 6y = 30x + -1 * 5y + 5 Multiply -1 * 5 5 + 3x + 6y = 30x + -5y + 5 Reorder the terms: 5 + 3x + 6y = 5 + 30x + -5y Add '-5' to each side of the equation. 5 + 3x + -5 + 6y = 5 + 30x + -5 + -5y Reorder the terms: 5 + -5 + 3x + 6y = 5 + 30x + -5 + -5y Combine like terms: 5 + -5 = 0 0 + 3x + 6y = 5 + 30x + -5 + -5y 3x + 6y = 5 + 30x + -5 + -5y Reorder the terms: 3x + 6y = 5 + -5 + 30x + -5y Combine like terms: 5 + -5 = 0 3x + 6y = 0 + 30x + -5y 3x + 6y = 30x + -5y Solving 3x + 6y = 30x + -5y 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. 3x + -30x + 6y = 30x + -30x + -5y Combine like terms: 3x + -30x = -27x -27x + 6y = 30x + -30x + -5y Combine like terms: 30x + -30x = 0 -27x + 6y = 0 + -5y -27x + 6y = -5y Add '-6y' to each side of the equation. -27x + 6y + -6y = -5y + -6y Combine like terms: 6y + -6y = 0 -27x + 0 = -5y + -6y -27x = -5y + -6y Combine like terms: -5y + -6y = -11y -27x = -11y Divide each side by '-27'. x = 0.4074074074y Simplifying x = 0.4074074074y
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