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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 = -55 -55 + -9x + -1x = 35 Combine like terms: -9x + -1x = -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 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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