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Simplifying 5(2x + 5) = -2x + 49 Reorder the terms: 5(5 + 2x) = -2x + 49 (5 * 5 + 2x * 5) = -2x + 49 (25 + 10x) = -2x + 49 Reorder the terms: 25 + 10x = 49 + -2x Solving 25 + 10x = 49 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 25 + 10x + 2x = 49 + -2x + 2x Combine like terms: 10x + 2x = 12x 25 + 12x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + 12x = 49 + 0 25 + 12x = 49 Add '-25' to each side of the equation. 25 + -25 + 12x = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 49 + -25 12x = 49 + -25 Combine like terms: 49 + -25 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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