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Simplifying 3x2 + 2x + -6 = 19 + 3x2 + -1x Reorder the terms: -6 + 2x + 3x2 = 19 + 3x2 + -1x Reorder the terms: -6 + 2x + 3x2 = 19 + -1x + 3x2 Add '-3x2' to each side of the equation. -6 + 2x + 3x2 + -3x2 = 19 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + 2x + 0 = 19 + -1x + 3x2 + -3x2 -6 + 2x = 19 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + 2x = 19 + -1x + 0 -6 + 2x = 19 + -1x Solving -6 + 2x = 19 + -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. -6 + 2x + x = 19 + -1x + x Combine like terms: 2x + x = 3x -6 + 3x = 19 + -1x + x Combine like terms: -1x + x = 0 -6 + 3x = 19 + 0 -6 + 3x = 19 Add '6' to each side of the equation. -6 + 6 + 3x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 19 + 6 3x = 19 + 6 Combine like terms: 19 + 6 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333
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