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Simplifying x2 + 5x = x2 + -2x + 49 Reorder the terms: 5x + x2 = x2 + -2x + 49 Reorder the terms: 5x + x2 = 49 + -2x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 49 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 49 + -2x + x2 + -1x2 5x = 49 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 49 + -2x + 0 5x = 49 + -2x Solving 5x = 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. 5x + 2x = 49 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 49 + 0 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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