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