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Simplifying 3(3x + 15) + (10 + x) = 35 Reorder the terms: 3(15 + 3x) + (10 + x) = 35 (15 * 3 + 3x * 3) + (10 + x) = 35 (45 + 9x) + (10 + x) = 35 Remove parenthesis around (10 + x) 45 + 9x + 10 + x = 35 Reorder the terms: 45 + 10 + 9x + x = 35 Combine like terms: 45 + 10 = 55 55 + 9x + x = 35 Combine like terms: 9x + x = 10x 55 + 10x = 35 Solving 55 + 10x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 10x = 35 + -55 Combine like terms: 55 + -55 = 0 0 + 10x = 35 + -55 10x = 35 + -55 Combine like terms: 35 + -55 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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