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Simplifying -1(3x + 10) = 1 + -5(x + 9) Reorder the terms: -1(10 + 3x) = 1 + -5(x + 9) (10 * -1 + 3x * -1) = 1 + -5(x + 9) (-10 + -3x) = 1 + -5(x + 9) Reorder the terms: -10 + -3x = 1 + -5(9 + x) -10 + -3x = 1 + (9 * -5 + x * -5) -10 + -3x = 1 + (-45 + -5x) Combine like terms: 1 + -45 = -44 -10 + -3x = -44 + -5x Solving -10 + -3x = -44 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -3x + 5x = -44 + -5x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = -44 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 2x = -44 + 0 -10 + 2x = -44 Add '10' to each side of the equation. -10 + 10 + 2x = -44 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -44 + 10 2x = -44 + 10 Combine like terms: -44 + 10 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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