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Simplifying 8x + -1(7x2 + 3) = 7(5 + -1x)(3 + x) Reorder the terms: 8x + -1(3 + 7x2) = 7(5 + -1x)(3 + x) 8x + (3 * -1 + 7x2 * -1) = 7(5 + -1x)(3 + x) 8x + (-3 + -7x2) = 7(5 + -1x)(3 + x) Reorder the terms: -3 + 8x + -7x2 = 7(5 + -1x)(3 + x) Multiply (5 + -1x) * (3 + x) -3 + 8x + -7x2 = 7(5(3 + x) + -1x * (3 + x)) -3 + 8x + -7x2 = 7((3 * 5 + x * 5) + -1x * (3 + x)) -3 + 8x + -7x2 = 7((15 + 5x) + -1x * (3 + x)) -3 + 8x + -7x2 = 7(15 + 5x + (3 * -1x + x * -1x)) -3 + 8x + -7x2 = 7(15 + 5x + (-3x + -1x2)) Combine like terms: 5x + -3x = 2x -3 + 8x + -7x2 = 7(15 + 2x + -1x2) -3 + 8x + -7x2 = (15 * 7 + 2x * 7 + -1x2 * 7) -3 + 8x + -7x2 = (105 + 14x + -7x2) Add '7x2' to each side of the equation. -3 + 8x + -7x2 + 7x2 = 105 + 14x + -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -3 + 8x + 0 = 105 + 14x + -7x2 + 7x2 -3 + 8x = 105 + 14x + -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -3 + 8x = 105 + 14x + 0 -3 + 8x = 105 + 14x Solving -3 + 8x = 105 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 8x + -14x = 105 + 14x + -14x Combine like terms: 8x + -14x = -6x -3 + -6x = 105 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + -6x = 105 + 0 -3 + -6x = 105 Add '3' to each side of the equation. -3 + 3 + -6x = 105 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 105 + 3 -6x = 105 + 3 Combine like terms: 105 + 3 = 108 -6x = 108 Divide each side by '-6'. x = -18 Simplifying x = -18
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