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Simplifying 6x + -7y + 5z + 10 = 4x + 5y + -2z Reorder the terms: 10 + 6x + -7y + 5z = 4x + 5y + -2z Solving 10 + 6x + -7y + 5z = 4x + 5y + -2z 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. 10 + 6x + -7y + -4x + 5z = 4x + 5y + -4x + -2z Reorder the terms: 10 + 6x + -4x + -7y + 5z = 4x + 5y + -4x + -2z Combine like terms: 6x + -4x = 2x 10 + 2x + -7y + 5z = 4x + 5y + -4x + -2z Reorder the terms: 10 + 2x + -7y + 5z = 4x + -4x + 5y + -2z Combine like terms: 4x + -4x = 0 10 + 2x + -7y + 5z = 0 + 5y + -2z 10 + 2x + -7y + 5z = 5y + -2z Add '-10' to each side of the equation. 10 + 2x + -7y + -10 + 5z = 5y + -10 + -2z Reorder the terms: 10 + -10 + 2x + -7y + 5z = 5y + -10 + -2z Combine like terms: 10 + -10 = 0 0 + 2x + -7y + 5z = 5y + -10 + -2z 2x + -7y + 5z = 5y + -10 + -2z Reorder the terms: 2x + -7y + 5z = -10 + 5y + -2z Add '7y' to each side of the equation. 2x + -7y + 7y + 5z = -10 + 5y + 7y + -2z Combine like terms: -7y + 7y = 0 2x + 0 + 5z = -10 + 5y + 7y + -2z 2x + 5z = -10 + 5y + 7y + -2z Combine like terms: 5y + 7y = 12y 2x + 5z = -10 + 12y + -2z Add '-5z' to each side of the equation. 2x + 5z + -5z = -10 + 12y + -2z + -5z Combine like terms: 5z + -5z = 0 2x + 0 = -10 + 12y + -2z + -5z 2x = -10 + 12y + -2z + -5z Combine like terms: -2z + -5z = -7z 2x = -10 + 12y + -7z Divide each side by '2'. x = -5 + 6y + -3.5z Simplifying x = -5 + 6y + -3.5z
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