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Simplifying -3x + -23 = -5(x + 5) Reorder the terms: -23 + -3x = -5(x + 5) Reorder the terms: -23 + -3x = -5(5 + x) -23 + -3x = (5 * -5 + x * -5) -23 + -3x = (-25 + -5x) Solving -23 + -3x = -25 + -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. -23 + -3x + 5x = -25 + -5x + 5x Combine like terms: -3x + 5x = 2x -23 + 2x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 2x = -25 + 0 -23 + 2x = -25 Add '23' to each side of the equation. -23 + 23 + 2x = -25 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -25 + 23 2x = -25 + 23 Combine like terms: -25 + 23 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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