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Simplifying 7 + -1x(3 + x) = (x + 2)(5 + -1x) 7 + (3 * -1x + x * -1x) = (x + 2)(5 + -1x) 7 + (-3x + -1x2) = (x + 2)(5 + -1x) Reorder the terms: 7 + -3x + -1x2 = (2 + x)(5 + -1x) Multiply (2 + x) * (5 + -1x) 7 + -3x + -1x2 = (2(5 + -1x) + x(5 + -1x)) 7 + -3x + -1x2 = ((5 * 2 + -1x * 2) + x(5 + -1x)) 7 + -3x + -1x2 = ((10 + -2x) + x(5 + -1x)) 7 + -3x + -1x2 = (10 + -2x + (5 * x + -1x * x)) 7 + -3x + -1x2 = (10 + -2x + (5x + -1x2)) Combine like terms: -2x + 5x = 3x 7 + -3x + -1x2 = (10 + 3x + -1x2) Add 'x2' to each side of the equation. 7 + -3x + -1x2 + x2 = 10 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7 + -3x + 0 = 10 + 3x + -1x2 + x2 7 + -3x = 10 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7 + -3x = 10 + 3x + 0 7 + -3x = 10 + 3x Solving 7 + -3x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -3x + -3x = 10 + 3x + -3x Combine like terms: -3x + -3x = -6x 7 + -6x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -6x = 10 + 0 7 + -6x = 10 Add '-7' to each side of the equation. 7 + -7 + -6x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 10 + -7 -6x = 10 + -7 Combine like terms: 10 + -7 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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