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Simplifying 2x + 6y + 5 = 6x + 6y + 27 Reorder the terms: 5 + 2x + 6y = 6x + 6y + 27 Reorder the terms: 5 + 2x + 6y = 27 + 6x + 6y Add '-6y' to each side of the equation. 5 + 2x + 6y + -6y = 27 + 6x + 6y + -6y Combine like terms: 6y + -6y = 0 5 + 2x + 0 = 27 + 6x + 6y + -6y 5 + 2x = 27 + 6x + 6y + -6y Combine like terms: 6y + -6y = 0 5 + 2x = 27 + 6x + 0 5 + 2x = 27 + 6x Solving 5 + 2x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 2x + -6x = 27 + 6x + -6x Combine like terms: 2x + -6x = -4x 5 + -4x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -4x = 27 + 0 5 + -4x = 27 Add '-5' to each side of the equation. 5 + -5 + -4x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 27 + -5 -4x = 27 + -5 Combine like terms: 27 + -5 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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