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Simplifying 3x + 8 + 6x2 = 10x2 + -1x + 12 + -4x2 Reorder the terms: 8 + 3x + 6x2 = 10x2 + -1x + 12 + -4x2 Reorder the terms: 8 + 3x + 6x2 = 12 + -1x + 10x2 + -4x2 Combine like terms: 10x2 + -4x2 = 6x2 8 + 3x + 6x2 = 12 + -1x + 6x2 Add '-6x2' to each side of the equation. 8 + 3x + 6x2 + -6x2 = 12 + -1x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 8 + 3x + 0 = 12 + -1x + 6x2 + -6x2 8 + 3x = 12 + -1x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 8 + 3x = 12 + -1x + 0 8 + 3x = 12 + -1x Solving 8 + 3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x 8 + 4x = 12 + -1x + x Combine like terms: -1x + x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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