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Simplifying -3(33x + 15) + -1(10 + x) = 35 Reorder the terms: -3(15 + 33x) + -1(10 + x) = 35 (15 * -3 + 33x * -3) + -1(10 + x) = 35 (-45 + -99x) + -1(10 + x) = 35 -45 + -99x + (10 * -1 + x * -1) = 35 -45 + -99x + (-10 + -1x) = 35 Reorder the terms: -45 + -10 + -99x + -1x = 35 Combine like terms: -45 + -10 = -55 -55 + -99x + -1x = 35 Combine like terms: -99x + -1x = -100x -55 + -100x = 35 Solving -55 + -100x = 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 + -100x = 35 + 55 Combine like terms: -55 + 55 = 0 0 + -100x = 35 + 55 -100x = 35 + 55 Combine like terms: 35 + 55 = 90 -100x = 90 Divide each side by '-100'. x = -0.9 Simplifying x = -0.9
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