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Simplifying (6x2 + -3x + 2) + -1(6x2 + x + -7) = 0 Reorder the terms: (2 + -3x + 6x2) + -1(6x2 + x + -7) = 0 Remove parenthesis around (2 + -3x + 6x2) 2 + -3x + 6x2 + -1(6x2 + x + -7) = 0 Reorder the terms: 2 + -3x + 6x2 + -1(-7 + x + 6x2) = 0 2 + -3x + 6x2 + (-7 * -1 + x * -1 + 6x2 * -1) = 0 2 + -3x + 6x2 + (7 + -1x + -6x2) = 0 Reorder the terms: 2 + 7 + -3x + -1x + 6x2 + -6x2 = 0 Combine like terms: 2 + 7 = 9 9 + -3x + -1x + 6x2 + -6x2 = 0 Combine like terms: -3x + -1x = -4x 9 + -4x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 9 + -4x + 0 = 0 9 + -4x = 0 Solving 9 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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