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Simplifying -3(3x + 15) + -9(10 + x) = 35 Reorder the terms: -3(15 + 3x) + -9(10 + x) = 35 (15 * -3 + 3x * -3) + -9(10 + x) = 35 (-45 + -9x) + -9(10 + x) = 35 -45 + -9x + (10 * -9 + x * -9) = 35 -45 + -9x + (-90 + -9x) = 35 Reorder the terms: -45 + -90 + -9x + -9x = 35 Combine like terms: -45 + -90 = -135 -135 + -9x + -9x = 35 Combine like terms: -9x + -9x = -18x -135 + -18x = 35 Solving -135 + -18x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + -18x = 35 + 135 Combine like terms: -135 + 135 = 0 0 + -18x = 35 + 135 -18x = 35 + 135 Combine like terms: 35 + 135 = 170 -18x = 170 Divide each side by '-18'. x = -9.444444444 Simplifying x = -9.444444444
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