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Simplifying 3(x + y) + -10 = 35 (x * 3 + y * 3) + -10 = 35 (3x + 3y) + -10 = 35 Reorder the terms: -10 + 3x + 3y = 35 Solving -10 + 3x + 3y = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3x + 10 + 3y = 35 + 10 Reorder the terms: -10 + 10 + 3x + 3y = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 3x + 3y = 35 + 10 3x + 3y = 35 + 10 Combine like terms: 35 + 10 = 45 3x + 3y = 45 Add '-3y' to each side of the equation. 3x + 3y + -3y = 45 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 45 + -3y 3x = 45 + -3y Divide each side by '3'. x = 15 + -1y Simplifying x = 15 + -1y
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