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Simplifying 9 + 2x2 = 2x(x + -4) + 1 Reorder the terms: 9 + 2x2 = 2x(-4 + x) + 1 9 + 2x2 = (-4 * 2x + x * 2x) + 1 9 + 2x2 = (-8x + 2x2) + 1 Reorder the terms: 9 + 2x2 = 1 + -8x + 2x2 Add '-2x2' to each side of the equation. 9 + 2x2 + -2x2 = 1 + -8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 9 + 0 = 1 + -8x + 2x2 + -2x2 9 = 1 + -8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 9 = 1 + -8x + 0 9 = 1 + -8x Solving 9 = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 8x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 8x = 1 + 0 9 + 8x = 1 Add '-9' to each side of the equation. 9 + -9 + 8x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 1 + -9 8x = 1 + -9 Combine like terms: 1 + -9 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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