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Simplifying (4x2 + -3x + -6) + -1(x2 + 1) = 3x2 + 10 Reorder the terms: (-6 + -3x + 4x2) + -1(x2 + 1) = 3x2 + 10 Remove parenthesis around (-6 + -3x + 4x2) -6 + -3x + 4x2 + -1(x2 + 1) = 3x2 + 10 Reorder the terms: -6 + -3x + 4x2 + -1(1 + x2) = 3x2 + 10 -6 + -3x + 4x2 + (1 * -1 + x2 * -1) = 3x2 + 10 -6 + -3x + 4x2 + (-1 + -1x2) = 3x2 + 10 Reorder the terms: -6 + -1 + -3x + 4x2 + -1x2 = 3x2 + 10 Combine like terms: -6 + -1 = -7 -7 + -3x + 4x2 + -1x2 = 3x2 + 10 Combine like terms: 4x2 + -1x2 = 3x2 -7 + -3x + 3x2 = 3x2 + 10 Reorder the terms: -7 + -3x + 3x2 = 10 + 3x2 Add '-3x2' to each side of the equation. -7 + -3x + 3x2 + -3x2 = 10 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -3x + 0 = 10 + 3x2 + -3x2 -7 + -3x = 10 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -3x = 10 + 0 -7 + -3x = 10 Solving -7 + -3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 10 + 7 -3x = 10 + 7 Combine like terms: 10 + 7 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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