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Simplifying 3x + -5 + 15y = 2x + 2 + z Reorder the terms: -5 + 3x + 15y = 2x + 2 + z Reorder the terms: -5 + 3x + 15y = 2 + 2x + z Solving -5 + 3x + 15y = 2 + 2x + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 3x + -2x + 15y = 2 + 2x + -2x + z Combine like terms: 3x + -2x = 1x -5 + 1x + 15y = 2 + 2x + -2x + z Combine like terms: 2x + -2x = 0 -5 + 1x + 15y = 2 + 0 + z -5 + 1x + 15y = 2 + z Add '5' to each side of the equation. -5 + 1x + 5 + 15y = 2 + 5 + z Reorder the terms: -5 + 5 + 1x + 15y = 2 + 5 + z Combine like terms: -5 + 5 = 0 0 + 1x + 15y = 2 + 5 + z 1x + 15y = 2 + 5 + z Combine like terms: 2 + 5 = 7 1x + 15y = 7 + z Add '-15y' to each side of the equation. 1x + 15y + -15y = 7 + -15y + z Combine like terms: 15y + -15y = 0 1x + 0 = 7 + -15y + z 1x = 7 + -15y + z Divide each side by '1'. x = 7 + -15y + z Simplifying x = 7 + -15y + z
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