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Simplifying 7(3x + 5y) + -14x + 12 = 0 (3x * 7 + 5y * 7) + -14x + 12 = 0 (21x + 35y) + -14x + 12 = 0 Reorder the terms: 12 + 21x + -14x + 35y = 0 Combine like terms: 21x + -14x = 7x 12 + 7x + 35y = 0 Solving 12 + 7x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7x + -12 + 35y = 0 + -12 Reorder the terms: 12 + -12 + 7x + 35y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x + 35y = 0 + -12 7x + 35y = 0 + -12 Combine like terms: 0 + -12 = -12 7x + 35y = -12 Add '-35y' to each side of the equation. 7x + 35y + -35y = -12 + -35y Combine like terms: 35y + -35y = 0 7x + 0 = -12 + -35y 7x = -12 + -35y Divide each side by '7'. x = -1.714285714 + -5y Simplifying x = -1.714285714 + -5y
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