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Simplifying 2x + 6y + 1 = 4x + -3y Reorder the terms: 1 + 2x + 6y = 4x + -3y Solving 1 + 2x + 6y = 4x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x + 6y = 4x + -4x + -3y Combine like terms: 2x + -4x = -2x 1 + -2x + 6y = 4x + -4x + -3y Combine like terms: 4x + -4x = 0 1 + -2x + 6y = 0 + -3y 1 + -2x + 6y = -3y Add '-1' to each side of the equation. 1 + -2x + -1 + 6y = -1 + -3y Reorder the terms: 1 + -1 + -2x + 6y = -1 + -3y Combine like terms: 1 + -1 = 0 0 + -2x + 6y = -1 + -3y -2x + 6y = -1 + -3y Add '-6y' to each side of the equation. -2x + 6y + -6y = -1 + -3y + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = -1 + -3y + -6y -2x = -1 + -3y + -6y Combine like terms: -3y + -6y = -9y -2x = -1 + -9y Divide each side by '-2'. x = 0.5 + 4.5y Simplifying x = 0.5 + 4.5y
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