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Simplifying 2x + 2y + 2z + -2 = -1x + y + z + 10 Reorder the terms: -2 + 2x + 2y + 2z = -1x + y + z + 10 Reorder the terms: -2 + 2x + 2y + 2z = 10 + -1x + y + z Solving -2 + 2x + 2y + 2z = 10 + -1x + y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 2x + 2y + x + 2z = 10 + -1x + y + x + z Reorder the terms: -2 + 2x + x + 2y + 2z = 10 + -1x + y + x + z Combine like terms: 2x + x = 3x -2 + 3x + 2y + 2z = 10 + -1x + y + x + z Reorder the terms: -2 + 3x + 2y + 2z = 10 + -1x + x + y + z Combine like terms: -1x + x = 0 -2 + 3x + 2y + 2z = 10 + 0 + y + z -2 + 3x + 2y + 2z = 10 + y + z Add '2' to each side of the equation. -2 + 3x + 2y + 2 + 2z = 10 + y + 2 + z Reorder the terms: -2 + 2 + 3x + 2y + 2z = 10 + y + 2 + z Combine like terms: -2 + 2 = 0 0 + 3x + 2y + 2z = 10 + y + 2 + z 3x + 2y + 2z = 10 + y + 2 + z Reorder the terms: 3x + 2y + 2z = 10 + 2 + y + z Combine like terms: 10 + 2 = 12 3x + 2y + 2z = 12 + y + z Add '-2y' to each side of the equation. 3x + 2y + -2y + 2z = 12 + y + -2y + z Combine like terms: 2y + -2y = 0 3x + 0 + 2z = 12 + y + -2y + z 3x + 2z = 12 + y + -2y + z Combine like terms: y + -2y = -1y 3x + 2z = 12 + -1y + z Add '-2z' to each side of the equation. 3x + 2z + -2z = 12 + -1y + z + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 12 + -1y + z + -2z 3x = 12 + -1y + z + -2z Combine like terms: z + -2z = -1z 3x = 12 + -1y + -1z Divide each side by '3'. x = 4 + -0.3333333333y + -0.3333333333z Simplifying x = 4 + -0.3333333333y + -0.3333333333z
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