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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 = -6x -45 + -6x = 69 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + -6x = 69 + 0 -45 + -6x = 69 Add '45' to each side of the equation. -45 + 45 + -6x = 69 + 45 Combine like terms: -45 + 45 = 0 0 + -6x = 69 + 45 -6x = 69 + 45 Combine like terms: 69 + 45 = 114 -6x = 114 Divide each side by '-6'. x = -19 Simplifying x = -19
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