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Simplifying (4x2 + 2x + -1) + (3x2 + 2x + 19) + -1(7x2 + -12) = 0 Reorder the terms: (-1 + 2x + 4x2) + (3x2 + 2x + 19) + -1(7x2 + -12) = 0 Remove parenthesis around (-1 + 2x + 4x2) -1 + 2x + 4x2 + (3x2 + 2x + 19) + -1(7x2 + -12) = 0 Reorder the terms: -1 + 2x + 4x2 + (19 + 2x + 3x2) + -1(7x2 + -12) = 0 Remove parenthesis around (19 + 2x + 3x2) -1 + 2x + 4x2 + 19 + 2x + 3x2 + -1(7x2 + -12) = 0 Reorder the terms: -1 + 2x + 4x2 + 19 + 2x + 3x2 + -1(-12 + 7x2) = 0 -1 + 2x + 4x2 + 19 + 2x + 3x2 + (-12 * -1 + 7x2 * -1) = 0 -1 + 2x + 4x2 + 19 + 2x + 3x2 + (12 + -7x2) = 0 Reorder the terms: -1 + 19 + 12 + 2x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: -1 + 19 = 18 18 + 12 + 2x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 18 + 12 = 30 30 + 2x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 2x + 2x = 4x 30 + 4x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 4x2 + 3x2 = 7x2 30 + 4x + 7x2 + -7x2 = 0 Combine like terms: 7x2 + -7x2 = 0 30 + 4x + 0 = 0 30 + 4x = 0 Solving 30 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 0 + -30 4x = 0 + -30 Combine like terms: 0 + -30 = -30 4x = -30 Divide each side by '4'. x = -7.5 Simplifying x = -7.5
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