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Simplifying 13 + -3(3x + 15) + -1(10 + x) = 35 Reorder the terms: 13 + -3(15 + 3x) + -1(10 + x) = 35 13 + (15 * -3 + 3x * -3) + -1(10 + x) = 35 13 + (-45 + -9x) + -1(10 + x) = 35 13 + -45 + -9x + (10 * -1 + x * -1) = 35 13 + -45 + -9x + (-10 + -1x) = 35 Reorder the terms: 13 + -45 + -10 + -9x + -1x = 35 Combine like terms: 13 + -45 = -32 -32 + -10 + -9x + -1x = 35 Combine like terms: -32 + -10 = -42 -42 + -9x + -1x = 35 Combine like terms: -9x + -1x = -10x -42 + -10x = 35 Solving -42 + -10x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -10x = 35 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = 35 + 42 -10x = 35 + 42 Combine like terms: 35 + 42 = 77 -10x = 77 Divide each side by '-10'. x = -7.7 Simplifying x = -7.7
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