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Simplifying (x2 + 7x + -3) + -1(6x + 1) = x2 + -15 Reorder the terms: (-3 + 7x + x2) + -1(6x + 1) = x2 + -15 Remove parenthesis around (-3 + 7x + x2) -3 + 7x + x2 + -1(6x + 1) = x2 + -15 Reorder the terms: -3 + 7x + x2 + -1(1 + 6x) = x2 + -15 -3 + 7x + x2 + (1 * -1 + 6x * -1) = x2 + -15 -3 + 7x + x2 + (-1 + -6x) = x2 + -15 Reorder the terms: -3 + -1 + 7x + -6x + x2 = x2 + -15 Combine like terms: -3 + -1 = -4 -4 + 7x + -6x + x2 = x2 + -15 Combine like terms: 7x + -6x = 1x -4 + 1x + x2 = x2 + -15 Reorder the terms: -4 + 1x + x2 = -15 + x2 Add '-1x2' to each side of the equation. -4 + 1x + x2 + -1x2 = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1x + 0 = -15 + x2 + -1x2 -4 + 1x = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1x = -15 + 0 -4 + 1x = -15 Solving -4 + 1x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -15 + 4 1x = -15 + 4 Combine like terms: -15 + 4 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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