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Simplifying 5x2 + -2x + 5 = 5x2 + 5x + 4 Reorder the terms: 5 + -2x + 5x2 = 5x2 + 5x + 4 Reorder the terms: 5 + -2x + 5x2 = 4 + 5x + 5x2 Add '-5x2' to each side of the equation. 5 + -2x + 5x2 + -5x2 = 4 + 5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 5 + -2x + 0 = 4 + 5x + 5x2 + -5x2 5 + -2x = 4 + 5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 5 + -2x = 4 + 5x + 0 5 + -2x = 4 + 5x Solving 5 + -2x = 4 + 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 = 4 + 5x + -5x Combine like terms: -2x + -5x = -7x 5 + -7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -7x = 4 + 0 5 + -7x = 4 Add '-5' to each side of the equation. 5 + -5 + -7x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 4 + -5 -7x = 4 + -5 Combine like terms: 4 + -5 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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