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Simplifying (x + 8)(x + 14) + -1x(x + 5) = 376 Reorder the terms: (8 + x)(x + 14) + -1x(x + 5) = 376 Reorder the terms: (8 + x)(14 + x) + -1x(x + 5) = 376 Multiply (8 + x) * (14 + x) (8(14 + x) + x(14 + x)) + -1x(x + 5) = 376 ((14 * 8 + x * 8) + x(14 + x)) + -1x(x + 5) = 376 ((112 + 8x) + x(14 + x)) + -1x(x + 5) = 376 (112 + 8x + (14 * x + x * x)) + -1x(x + 5) = 376 (112 + 8x + (14x + x2)) + -1x(x + 5) = 376 Combine like terms: 8x + 14x = 22x (112 + 22x + x2) + -1x(x + 5) = 376 Reorder the terms: 112 + 22x + x2 + -1x(5 + x) = 376 112 + 22x + x2 + (5 * -1x + x * -1x) = 376 112 + 22x + x2 + (-5x + -1x2) = 376 Reorder the terms: 112 + 22x + -5x + x2 + -1x2 = 376 Combine like terms: 22x + -5x = 17x 112 + 17x + x2 + -1x2 = 376 Combine like terms: x2 + -1x2 = 0 112 + 17x + 0 = 376 112 + 17x = 376 Solving 112 + 17x = 376 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 17x = 376 + -112 Combine like terms: 112 + -112 = 0 0 + 17x = 376 + -112 17x = 376 + -112 Combine like terms: 376 + -112 = 264 17x = 264 Divide each side by '17'. x = 15.52941176 Simplifying x = 15.52941176
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