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Simplifying 10x + 4y = 5x + -7z Solving 10x + 4y = 5x + -7z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10x + -5x + 4y = 5x + -5x + -7z Combine like terms: 10x + -5x = 5x 5x + 4y = 5x + -5x + -7z Combine like terms: 5x + -5x = 0 5x + 4y = 0 + -7z 5x + 4y = -7z Add '-4y' to each side of the equation. 5x + 4y + -4y = -4y + -7z Combine like terms: 4y + -4y = 0 5x + 0 = -4y + -7z 5x = -4y + -7z Divide each side by '5'. x = -0.8y + -1.4z Simplifying x = -0.8y + -1.4z
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