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Simplifying 6x + 3z + x + -7y = 5z + -4x Reorder the terms: 6x + x + -7y + 3z = 5z + -4x Combine like terms: 6x + x = 7x 7x + -7y + 3z = 5z + -4x Reorder the terms: 7x + -7y + 3z = -4x + 5z Solving 7x + -7y + 3z = -4x + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7x + -7y + 4x + 3z = -4x + 4x + 5z Reorder the terms: 7x + 4x + -7y + 3z = -4x + 4x + 5z Combine like terms: 7x + 4x = 11x 11x + -7y + 3z = -4x + 4x + 5z Combine like terms: -4x + 4x = 0 11x + -7y + 3z = 0 + 5z 11x + -7y + 3z = 5z Add '7y' to each side of the equation. 11x + -7y + 7y + 3z = 7y + 5z Combine like terms: -7y + 7y = 0 11x + 0 + 3z = 7y + 5z 11x + 3z = 7y + 5z Add '-3z' to each side of the equation. 11x + 3z + -3z = 7y + 5z + -3z Combine like terms: 3z + -3z = 0 11x + 0 = 7y + 5z + -3z 11x = 7y + 5z + -3z Combine like terms: 5z + -3z = 2z 11x = 7y + 2z Divide each side by '11'. x = 0.6363636364y + 0.1818181818z Simplifying x = 0.6363636364y + 0.1818181818z
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