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Simplifying 9x2 + -6x + 1 + -25x2 + 30x + -9 = -16x2 + 16x + -4 Reorder the terms: 1 + -9 + -6x + 30x + 9x2 + -25x2 = -16x2 + 16x + -4 Combine like terms: 1 + -9 = -8 -8 + -6x + 30x + 9x2 + -25x2 = -16x2 + 16x + -4 Combine like terms: -6x + 30x = 24x -8 + 24x + 9x2 + -25x2 = -16x2 + 16x + -4 Combine like terms: 9x2 + -25x2 = -16x2 -8 + 24x + -16x2 = -16x2 + 16x + -4 Reorder the terms: -8 + 24x + -16x2 = -4 + 16x + -16x2 Add '16x2' to each side of the equation. -8 + 24x + -16x2 + 16x2 = -4 + 16x + -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -8 + 24x + 0 = -4 + 16x + -16x2 + 16x2 -8 + 24x = -4 + 16x + -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -8 + 24x = -4 + 16x + 0 -8 + 24x = -4 + 16x Solving -8 + 24x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 24x + -16x = -4 + 16x + -16x Combine like terms: 24x + -16x = 8x -8 + 8x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + 8x = -4 + 0 -8 + 8x = -4 Add '8' to each side of the equation. -8 + 8 + 8x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -4 + 8 8x = -4 + 8 Combine like terms: -4 + 8 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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