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Simplifying -5(x + 9) = -3 + -2x Reorder the terms: -5(9 + x) = -3 + -2x (9 * -5 + x * -5) = -3 + -2x (-45 + -5x) = -3 + -2x Solving -45 + -5x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -45 + -5x + 2x = -3 + -2x + 2x Combine like terms: -5x + 2x = -3x -45 + -3x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -45 + -3x = -3 + 0 -45 + -3x = -3 Add '45' to each side of the equation. -45 + 45 + -3x = -3 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -3 + 45 -3x = -3 + 45 Combine like terms: -3 + 45 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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