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Simplifying 2x2 + -1x + -15 = (2x + 5) * x Reorder the terms: -15 + -1x + 2x2 = (2x + 5) * x Reorder the terms: -15 + -1x + 2x2 = (5 + 2x) * x Reorder the terms for easier multiplication: -15 + -1x + 2x2 = x(5 + 2x) -15 + -1x + 2x2 = (5 * x + 2x * x) -15 + -1x + 2x2 = (5x + 2x2) Add '-2x2' to each side of the equation. -15 + -1x + 2x2 + -2x2 = 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + -1x + 0 = 5x + 2x2 + -2x2 -15 + -1x = 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + -1x = 5x + 0 -15 + -1x = 5x Solving -15 + -1x = 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. -15 + -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x -15 + -6x = 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -6x = 0 Add '15' to each side of the equation. -15 + 15 + -6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 0 + 15 -6x = 0 + 15 Combine like terms: 0 + 15 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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