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Simplifying -3(3x + 15) + -1(-10 + x) = 35 Reorder the terms: -3(15 + 3x) + -1(-10 + x) = 35 (15 * -3 + 3x * -3) + -1(-10 + x) = 35 (-45 + -9x) + -1(-10 + x) = 35 -45 + -9x + (-10 * -1 + x * -1) = 35 -45 + -9x + (10 + -1x) = 35 Reorder the terms: -45 + 10 + -9x + -1x = 35 Combine like terms: -45 + 10 = -35 -35 + -9x + -1x = 35 Combine like terms: -9x + -1x = -10x -35 + -10x = 35 Solving -35 + -10x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -10x = 35 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = 35 + 35 -10x = 35 + 35 Combine like terms: 35 + 35 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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