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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 = 114 -12x = 114 Divide each side by '-12'. x = -9.5 Simplifying x = -9.5
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