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Simplifying 16x + 32 + 6x2 + -5x = 6x2 + 12x Reorder the terms: 32 + 16x + -5x + 6x2 = 6x2 + 12x Combine like terms: 16x + -5x = 11x 32 + 11x + 6x2 = 6x2 + 12x Reorder the terms: 32 + 11x + 6x2 = 12x + 6x2 Add '-6x2' to each side of the equation. 32 + 11x + 6x2 + -6x2 = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 32 + 11x + 0 = 12x + 6x2 + -6x2 32 + 11x = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 32 + 11x = 12x + 0 32 + 11x = 12x Solving 32 + 11x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 11x + -12x = 12x + -12x Combine like terms: 11x + -12x = -1x 32 + -1x = 12x + -12x Combine like terms: 12x + -12x = 0 32 + -1x = 0 Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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