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Simplifying 2x2 + -2x + 5 = 2x2 + -7x + -15 Reorder the terms: 5 + -2x + 2x2 = 2x2 + -7x + -15 Reorder the terms: 5 + -2x + 2x2 = -15 + -7x + 2x2 Add '-2x2' to each side of the equation. 5 + -2x + 2x2 + -2x2 = -15 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5 + -2x + 0 = -15 + -7x + 2x2 + -2x2 5 + -2x = -15 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5 + -2x = -15 + -7x + 0 5 + -2x = -15 + -7x Solving 5 + -2x = -15 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -2x + 7x = -15 + -7x + 7x Combine like terms: -2x + 7x = 5x 5 + 5x = -15 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 5x = -15 + 0 5 + 5x = -15 Add '-5' to each side of the equation. 5 + -5 + 5x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -15 + -5 5x = -15 + -5 Combine like terms: -15 + -5 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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