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Simplifying (x + 6)(x + 2) + -1x(x + -2) = 132 Reorder the terms: (6 + x)(x + 2) + -1x(x + -2) = 132 Reorder the terms: (6 + x)(2 + x) + -1x(x + -2) = 132 Multiply (6 + x) * (2 + x) (6(2 + x) + x(2 + x)) + -1x(x + -2) = 132 ((2 * 6 + x * 6) + x(2 + x)) + -1x(x + -2) = 132 ((12 + 6x) + x(2 + x)) + -1x(x + -2) = 132 (12 + 6x + (2 * x + x * x)) + -1x(x + -2) = 132 (12 + 6x + (2x + x2)) + -1x(x + -2) = 132 Combine like terms: 6x + 2x = 8x (12 + 8x + x2) + -1x(x + -2) = 132 Reorder the terms: 12 + 8x + x2 + -1x(-2 + x) = 132 12 + 8x + x2 + (-2 * -1x + x * -1x) = 132 12 + 8x + x2 + (2x + -1x2) = 132 Reorder the terms: 12 + 8x + 2x + x2 + -1x2 = 132 Combine like terms: 8x + 2x = 10x 12 + 10x + x2 + -1x2 = 132 Combine like terms: x2 + -1x2 = 0 12 + 10x + 0 = 132 12 + 10x = 132 Solving 12 + 10x = 132 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 132 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 132 + -12 10x = 132 + -12 Combine like terms: 132 + -12 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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