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Simplifying x + 12 = 17 + 3x + -4 + 7y Reorder the terms: 12 + x = 17 + 3x + -4 + 7y Reorder the terms: 12 + x = 17 + -4 + 3x + 7y Combine like terms: 17 + -4 = 13 12 + x = 13 + 3x + 7y Solving 12 + x = 13 + 3x + 7y 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. 12 + x + -3x = 13 + 3x + -3x + 7y Combine like terms: x + -3x = -2x 12 + -2x = 13 + 3x + -3x + 7y Combine like terms: 3x + -3x = 0 12 + -2x = 13 + 0 + 7y 12 + -2x = 13 + 7y Add '-12' to each side of the equation. 12 + -12 + -2x = 13 + -12 + 7y Combine like terms: 12 + -12 = 0 0 + -2x = 13 + -12 + 7y -2x = 13 + -12 + 7y Combine like terms: 13 + -12 = 1 -2x = 1 + 7y Divide each side by '-2'. x = -0.5 + -3.5y Simplifying x = -0.5 + -3.5y
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