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Simplifying 2x2 + 8x + -15 = 2(x2 + 5x + 13) Reorder the terms: -15 + 8x + 2x2 = 2(x2 + 5x + 13) Reorder the terms: -15 + 8x + 2x2 = 2(13 + 5x + x2) -15 + 8x + 2x2 = (13 * 2 + 5x * 2 + x2 * 2) -15 + 8x + 2x2 = (26 + 10x + 2x2) Add '-2x2' to each side of the equation. -15 + 8x + 2x2 + -2x2 = 26 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + 8x + 0 = 26 + 10x + 2x2 + -2x2 -15 + 8x = 26 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + 8x = 26 + 10x + 0 -15 + 8x = 26 + 10x Solving -15 + 8x = 26 + 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. -15 + 8x + -10x = 26 + 10x + -10x Combine like terms: 8x + -10x = -2x -15 + -2x = 26 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -2x = 26 + 0 -15 + -2x = 26 Add '15' to each side of the equation. -15 + 15 + -2x = 26 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 26 + 15 -2x = 26 + 15 Combine like terms: 26 + 15 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5
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