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Simplifying 3y + 4x + 13 = y + 3x + 1 Reorder the terms: 13 + 4x + 3y = y + 3x + 1 Reorder the terms: 13 + 4x + 3y = 1 + 3x + y Solving 13 + 4x + 3y = 1 + 3x + y 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. 13 + 4x + -3x + 3y = 1 + 3x + -3x + y Combine like terms: 4x + -3x = 1x 13 + 1x + 3y = 1 + 3x + -3x + y Combine like terms: 3x + -3x = 0 13 + 1x + 3y = 1 + 0 + y 13 + 1x + 3y = 1 + y Add '-13' to each side of the equation. 13 + 1x + -13 + 3y = 1 + -13 + y Reorder the terms: 13 + -13 + 1x + 3y = 1 + -13 + y Combine like terms: 13 + -13 = 0 0 + 1x + 3y = 1 + -13 + y 1x + 3y = 1 + -13 + y Combine like terms: 1 + -13 = -12 1x + 3y = -12 + y Add '-3y' to each side of the equation. 1x + 3y + -3y = -12 + y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = -12 + y + -3y 1x = -12 + y + -3y Combine like terms: y + -3y = -2y 1x = -12 + -2y Divide each side by '1'. x = -12 + -2y Simplifying x = -12 + -2y
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