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Simplifying -8x + 3y + -10z + -7 = 4y + -2z + 6 Reorder the terms: -7 + -8x + 3y + -10z = 4y + -2z + 6 Reorder the terms: -7 + -8x + 3y + -10z = 6 + 4y + -2z Solving -7 + -8x + 3y + -10z = 6 + 4y + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -8x + 3y + 7 + -10z = 6 + 4y + 7 + -2z Reorder the terms: -7 + 7 + -8x + 3y + -10z = 6 + 4y + 7 + -2z Combine like terms: -7 + 7 = 0 0 + -8x + 3y + -10z = 6 + 4y + 7 + -2z -8x + 3y + -10z = 6 + 4y + 7 + -2z Reorder the terms: -8x + 3y + -10z = 6 + 7 + 4y + -2z Combine like terms: 6 + 7 = 13 -8x + 3y + -10z = 13 + 4y + -2z Add '-3y' to each side of the equation. -8x + 3y + -3y + -10z = 13 + 4y + -3y + -2z Combine like terms: 3y + -3y = 0 -8x + 0 + -10z = 13 + 4y + -3y + -2z -8x + -10z = 13 + 4y + -3y + -2z Combine like terms: 4y + -3y = 1y -8x + -10z = 13 + 1y + -2z Add '10z' to each side of the equation. -8x + -10z + 10z = 13 + 1y + -2z + 10z Combine like terms: -10z + 10z = 0 -8x + 0 = 13 + 1y + -2z + 10z -8x = 13 + 1y + -2z + 10z Combine like terms: -2z + 10z = 8z -8x = 13 + 1y + 8z Divide each side by '-8'. x = -1.625 + -0.125y + -1z Simplifying x = -1.625 + -0.125y + -1z
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