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Simplifying 12 + 3x = 11(1 + 4y) + x 12 + 3x = (1 * 11 + 4y * 11) + x 12 + 3x = (11 + 44y) + x Reorder the terms: 12 + 3x = 11 + x + 44y Solving 12 + 3x = 11 + x + 44y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x = 11 + x + -1x + 44y Combine like terms: 3x + -1x = 2x 12 + 2x = 11 + x + -1x + 44y Combine like terms: x + -1x = 0 12 + 2x = 11 + 0 + 44y 12 + 2x = 11 + 44y Add '-12' to each side of the equation. 12 + -12 + 2x = 11 + -12 + 44y Combine like terms: 12 + -12 = 0 0 + 2x = 11 + -12 + 44y 2x = 11 + -12 + 44y Combine like terms: 11 + -12 = -1 2x = -1 + 44y Divide each side by '2'. x = -0.5 + 22y Simplifying x = -0.5 + 22y
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