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Simplifying x2 + -2x + 5 = x2 + 5x + 33 Reorder the terms: 5 + -2x + x2 = x2 + 5x + 33 Reorder the terms: 5 + -2x + x2 = 33 + 5x + x2 Add '-1x2' to each side of the equation. 5 + -2x + x2 + -1x2 = 33 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -2x + 0 = 33 + 5x + x2 + -1x2 5 + -2x = 33 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -2x = 33 + 5x + 0 5 + -2x = 33 + 5x Solving 5 + -2x = 33 + 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. 5 + -2x + -5x = 33 + 5x + -5x Combine like terms: -2x + -5x = -7x 5 + -7x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -7x = 33 + 0 5 + -7x = 33 Add '-5' to each side of the equation. 5 + -5 + -7x = 33 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 33 + -5 -7x = 33 + -5 Combine like terms: 33 + -5 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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