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Simplifying 5z + 7x + -3y = z + 2x + 100y Reorder the terms: 7x + -3y + 5z = z + 2x + 100y Reorder the terms: 7x + -3y + 5z = 2x + 100y + z Solving 7x + -3y + 5z = 2x + 100y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7x + -3y + -2x + 5z = 2x + 100y + -2x + z Reorder the terms: 7x + -2x + -3y + 5z = 2x + 100y + -2x + z Combine like terms: 7x + -2x = 5x 5x + -3y + 5z = 2x + 100y + -2x + z Reorder the terms: 5x + -3y + 5z = 2x + -2x + 100y + z Combine like terms: 2x + -2x = 0 5x + -3y + 5z = 0 + 100y + z 5x + -3y + 5z = 100y + z Add '3y' to each side of the equation. 5x + -3y + 3y + 5z = 100y + 3y + z Combine like terms: -3y + 3y = 0 5x + 0 + 5z = 100y + 3y + z 5x + 5z = 100y + 3y + z Combine like terms: 100y + 3y = 103y 5x + 5z = 103y + z Add '-5z' to each side of the equation. 5x + 5z + -5z = 103y + z + -5z Combine like terms: 5z + -5z = 0 5x + 0 = 103y + z + -5z 5x = 103y + z + -5z Combine like terms: z + -5z = -4z 5x = 103y + -4z Divide each side by '5'. x = 20.6y + -0.8z Simplifying x = 20.6y + -0.8z
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