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Simplifying 3x2 + 2x + -18 = x2 + -8x + 32 + 2x2 Reorder the terms: -18 + 2x + 3x2 = x2 + -8x + 32 + 2x2 Reorder the terms: -18 + 2x + 3x2 = 32 + -8x + x2 + 2x2 Combine like terms: x2 + 2x2 = 3x2 -18 + 2x + 3x2 = 32 + -8x + 3x2 Add '-3x2' to each side of the equation. -18 + 2x + 3x2 + -3x2 = 32 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18 + 2x + 0 = 32 + -8x + 3x2 + -3x2 -18 + 2x = 32 + -8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18 + 2x = 32 + -8x + 0 -18 + 2x = 32 + -8x Solving -18 + 2x = 32 + -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. -18 + 2x + 8x = 32 + -8x + 8x Combine like terms: 2x + 8x = 10x -18 + 10x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 10x = 32 + 0 -18 + 10x = 32 Add '18' to each side of the equation. -18 + 18 + 10x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 32 + 18 10x = 32 + 18 Combine like terms: 32 + 18 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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