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Simplifying -9(x + 5) = 3(x + -23) Reorder the terms: -9(5 + x) = 3(x + -23) (5 * -9 + x * -9) = 3(x + -23) (-45 + -9x) = 3(x + -23) Reorder the terms: -45 + -9x = 3(-23 + x) -45 + -9x = (-23 * 3 + x * 3) -45 + -9x = (-69 + 3x) Solving -45 + -9x = -69 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + -9x + -3x = -69 + 3x + -3x Combine like terms: -9x + -3x = -12x -45 + -12x = -69 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -12x = -69 + 0 -45 + -12x = -69 Add '45' to each side of the equation. -45 + 45 + -12x = -69 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = -69 + 45 -12x = -69 + 45 Combine like terms: -69 + 45 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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