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Simplifying 6x2 + -5x + 2 = 6x2 + -10x + -3 Reorder the terms: 2 + -5x + 6x2 = 6x2 + -10x + -3 Reorder the terms: 2 + -5x + 6x2 = -3 + -10x + 6x2 Add '-6x2' to each side of the equation. 2 + -5x + 6x2 + -6x2 = -3 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -5x + 0 = -3 + -10x + 6x2 + -6x2 2 + -5x = -3 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -5x = -3 + -10x + 0 2 + -5x = -3 + -10x Solving 2 + -5x = -3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2 + -5x + 10x = -3 + -10x + 10x Combine like terms: -5x + 10x = 5x 2 + 5x = -3 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 5x = -3 + 0 2 + 5x = -3 Add '-2' to each side of the equation. 2 + -2 + 5x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = -3 + -2 5x = -3 + -2 Combine like terms: -3 + -2 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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