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Simplifying 5(2x + 5) = -22 + 7 Reorder the terms: 5(5 + 2x) = -22 + 7 (5 * 5 + 2x * 5) = -22 + 7 (25 + 10x) = -22 + 7 Combine like terms: -22 + 7 = -15 25 + 10x = -15 Solving 25 + 10x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 10x = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 10x = -15 + -25 10x = -15 + -25 Combine like terms: -15 + -25 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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