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Simplifying 3(x2 + 4x + -2) = 2(x2 + -1x + 1) + x2 + 34 Reorder the terms: 3(-2 + 4x + x2) = 2(x2 + -1x + 1) + x2 + 34 (-2 * 3 + 4x * 3 + x2 * 3) = 2(x2 + -1x + 1) + x2 + 34 (-6 + 12x + 3x2) = 2(x2 + -1x + 1) + x2 + 34 Reorder the terms: -6 + 12x + 3x2 = 2(1 + -1x + x2) + x2 + 34 -6 + 12x + 3x2 = (1 * 2 + -1x * 2 + x2 * 2) + x2 + 34 -6 + 12x + 3x2 = (2 + -2x + 2x2) + x2 + 34 Reorder the terms: -6 + 12x + 3x2 = 2 + 34 + -2x + 2x2 + x2 Combine like terms: 2 + 34 = 36 -6 + 12x + 3x2 = 36 + -2x + 2x2 + x2 Combine like terms: 2x2 + x2 = 3x2 -6 + 12x + 3x2 = 36 + -2x + 3x2 Add '-3x2' to each side of the equation. -6 + 12x + 3x2 + -3x2 = 36 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + 12x + 0 = 36 + -2x + 3x2 + -3x2 -6 + 12x = 36 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + 12x = 36 + -2x + 0 -6 + 12x = 36 + -2x Solving -6 + 12x = 36 + -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. -6 + 12x + 2x = 36 + -2x + 2x Combine like terms: 12x + 2x = 14x -6 + 14x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 14x = 36 + 0 -6 + 14x = 36 Add '6' to each side of the equation. -6 + 6 + 14x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 36 + 6 14x = 36 + 6 Combine like terms: 36 + 6 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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