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Simplifying (-1x + 1)(-15 + 2x) + 2x2 + -1 + -4x = -4 + 14x Reorder the terms: (1 + -1x)(-15 + 2x) + 2x2 + -1 + -4x = -4 + 14x Multiply (1 + -1x) * (-15 + 2x) (1(-15 + 2x) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x ((-15 * 1 + 2x * 1) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x ((-15 + 2x) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x (-15 + 2x + (-15 * -1x + 2x * -1x)) + 2x2 + -1 + -4x = -4 + 14x (-15 + 2x + (15x + -2x2)) + 2x2 + -1 + -4x = -4 + 14x Combine like terms: 2x + 15x = 17x (-15 + 17x + -2x2) + 2x2 + -1 + -4x = -4 + 14x Reorder the terms: -15 + -1 + 17x + -4x + -2x2 + 2x2 = -4 + 14x Combine like terms: -15 + -1 = -16 -16 + 17x + -4x + -2x2 + 2x2 = -4 + 14x Combine like terms: 17x + -4x = 13x -16 + 13x + -2x2 + 2x2 = -4 + 14x Combine like terms: -2x2 + 2x2 = 0 -16 + 13x + 0 = -4 + 14x -16 + 13x = -4 + 14x Solving -16 + 13x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -16 + 13x + -14x = -4 + 14x + -14x Combine like terms: 13x + -14x = -1x -16 + -1x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 -16 + -1x = -4 + 0 -16 + -1x = -4 Add '16' to each side of the equation. -16 + 16 + -1x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -4 + 16 -1x = -4 + 16 Combine like terms: -4 + 16 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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