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Simplifying 3x2 + -2x + 1 = 3x2 + 5x + -2 Reorder the terms: 1 + -2x + 3x2 = 3x2 + 5x + -2 Reorder the terms: 1 + -2x + 3x2 = -2 + 5x + 3x2 Add '-3x2' to each side of the equation. 1 + -2x + 3x2 + -3x2 = -2 + 5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1 + -2x + 0 = -2 + 5x + 3x2 + -3x2 1 + -2x = -2 + 5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1 + -2x = -2 + 5x + 0 1 + -2x = -2 + 5x Solving 1 + -2x = -2 + 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. 1 + -2x + -5x = -2 + 5x + -5x Combine like terms: -2x + -5x = -7x 1 + -7x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -7x = -2 + 0 1 + -7x = -2 Add '-1' to each side of the equation. 1 + -1 + -7x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -2 + -1 -7x = -2 + -1 Combine like terms: -2 + -1 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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