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Simplifying 3x2 + x + 4 = 3x2 + 10 + -2x Reorder the terms: 4 + x + 3x2 = 3x2 + 10 + -2x Reorder the terms: 4 + x + 3x2 = 10 + -2x + 3x2 Add '-3x2' to each side of the equation. 4 + x + 3x2 + -3x2 = 10 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 4 + x + 0 = 10 + -2x + 3x2 + -3x2 4 + x = 10 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 4 + x = 10 + -2x + 0 4 + x = 10 + -2x Solving 4 + x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + x + 2x = 10 + -2x + 2x Combine like terms: x + 2x = 3x 4 + 3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 3x = 10 + 0 4 + 3x = 10 Add '-4' to each side of the equation. 4 + -4 + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 10 + -4 3x = 10 + -4 Combine like terms: 10 + -4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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