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Simplifying -2x + -23 = -7(2x + 5) Reorder the terms: -23 + -2x = -7(2x + 5) Reorder the terms: -23 + -2x = -7(5 + 2x) -23 + -2x = (5 * -7 + 2x * -7) -23 + -2x = (-35 + -14x) Solving -23 + -2x = -35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -23 + -2x + 14x = -35 + -14x + 14x Combine like terms: -2x + 14x = 12x -23 + 12x = -35 + -14x + 14x Combine like terms: -14x + 14x = 0 -23 + 12x = -35 + 0 -23 + 12x = -35 Add '23' to each side of the equation. -23 + 23 + 12x = -35 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = -35 + 23 12x = -35 + 23 Combine like terms: -35 + 23 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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