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Simplifying 29 + -1(x + 2)(x + 7) = 3 + -1x2 Reorder the terms: 29 + -1(2 + x)(x + 7) = 3 + -1x2 Reorder the terms: 29 + -1(2 + x)(7 + x) = 3 + -1x2 Multiply (2 + x) * (7 + x) 29 + -1(2(7 + x) + x(7 + x)) = 3 + -1x2 29 + -1((7 * 2 + x * 2) + x(7 + x)) = 3 + -1x2 29 + -1((14 + 2x) + x(7 + x)) = 3 + -1x2 29 + -1(14 + 2x + (7 * x + x * x)) = 3 + -1x2 29 + -1(14 + 2x + (7x + x2)) = 3 + -1x2 Combine like terms: 2x + 7x = 9x 29 + -1(14 + 9x + x2) = 3 + -1x2 29 + (14 * -1 + 9x * -1 + x2 * -1) = 3 + -1x2 29 + (-14 + -9x + -1x2) = 3 + -1x2 Combine like terms: 29 + -14 = 15 15 + -9x + -1x2 = 3 + -1x2 Add 'x2' to each side of the equation. 15 + -9x + -1x2 + x2 = 3 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 15 + -9x + 0 = 3 + -1x2 + x2 15 + -9x = 3 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 15 + -9x = 3 + 0 15 + -9x = 3 Solving 15 + -9x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -9x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 3 + -15 -9x = 3 + -15 Combine like terms: 3 + -15 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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