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Simplifying 4x + 10y = 3x + 12y Solving 4x + 10y = 3x + 12y 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. 4x + -3x + 10y = 3x + -3x + 12y Combine like terms: 4x + -3x = 1x 1x + 10y = 3x + -3x + 12y Combine like terms: 3x + -3x = 0 1x + 10y = 0 + 12y 1x + 10y = 12y Add '-10y' to each side of the equation. 1x + 10y + -10y = 12y + -10y Combine like terms: 10y + -10y = 0 1x + 0 = 12y + -10y 1x = 12y + -10y Combine like terms: 12y + -10y = 2y 1x = 2y Divide each side by '1'. x = 2y Simplifying x = 2y
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