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Simplifying 15x2 + -8x + 1 = 15x2 + -11x + -14 Reorder the terms: 1 + -8x + 15x2 = 15x2 + -11x + -14 Reorder the terms: 1 + -8x + 15x2 = -14 + -11x + 15x2 Add '-15x2' to each side of the equation. 1 + -8x + 15x2 + -15x2 = -14 + -11x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 1 + -8x + 0 = -14 + -11x + 15x2 + -15x2 1 + -8x = -14 + -11x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 1 + -8x = -14 + -11x + 0 1 + -8x = -14 + -11x Solving 1 + -8x = -14 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 1 + -8x + 11x = -14 + -11x + 11x Combine like terms: -8x + 11x = 3x 1 + 3x = -14 + -11x + 11x Combine like terms: -11x + 11x = 0 1 + 3x = -14 + 0 1 + 3x = -14 Add '-1' to each side of the equation. 1 + -1 + 3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -14 + -1 3x = -14 + -1 Combine like terms: -14 + -1 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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