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Simplifying -7x + -23 = -5(x + 1) Reorder the terms: -23 + -7x = -5(x + 1) Reorder the terms: -23 + -7x = -5(1 + x) -23 + -7x = (1 * -5 + x * -5) -23 + -7x = (-5 + -5x) Solving -23 + -7x = -5 + -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 + -7x + 5x = -5 + -5x + 5x Combine like terms: -7x + 5x = -2x -23 + -2x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + -2x = -5 + 0 -23 + -2x = -5 Add '23' to each side of the equation. -23 + 23 + -2x = -5 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = -5 + 23 -2x = -5 + 23 Combine like terms: -5 + 23 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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