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Simplifying 3x + -7y = 10x + 14z Solving 3x + -7y = 10x + 14z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3x + -10x + -7y = 10x + -10x + 14z Combine like terms: 3x + -10x = -7x -7x + -7y = 10x + -10x + 14z Combine like terms: 10x + -10x = 0 -7x + -7y = 0 + 14z -7x + -7y = 14z Add '7y' to each side of the equation. -7x + -7y + 7y = 7y + 14z Combine like terms: -7y + 7y = 0 -7x + 0 = 7y + 14z -7x = 7y + 14z Divide each side by '-7'. x = -1y + -2z Simplifying x = -1y + -2z
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