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Simplifying -3(3x + 15) = 35 + -1(10 + x) Reorder the terms: -3(15 + 3x) = 35 + -1(10 + x) (15 * -3 + 3x * -3) = 35 + -1(10 + x) (-45 + -9x) = 35 + -1(10 + x) -45 + -9x = 35 + (10 * -1 + x * -1) -45 + -9x = 35 + (-10 + -1x) Combine like terms: 35 + -10 = 25 -45 + -9x = 25 + -1x Solving -45 + -9x = 25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + -9x + x = 25 + -1x + x Combine like terms: -9x + x = -8x -45 + -8x = 25 + -1x + x Combine like terms: -1x + x = 0 -45 + -8x = 25 + 0 -45 + -8x = 25 Add '45' to each side of the equation. -45 + 45 + -8x = 25 + 45 Combine like terms: -45 + 45 = 0 0 + -8x = 25 + 45 -8x = 25 + 45 Combine like terms: 25 + 45 = 70 -8x = 70 Divide each side by '-8'. x = -8.75 Simplifying x = -8.75
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