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Simplifying 320 = (x + 8)(x + 16) + -1x(x + 8) Reorder the terms: 320 = (8 + x)(x + 16) + -1x(x + 8) Reorder the terms: 320 = (8 + x)(16 + x) + -1x(x + 8) Multiply (8 + x) * (16 + x) 320 = (8(16 + x) + x(16 + x)) + -1x(x + 8) 320 = ((16 * 8 + x * 8) + x(16 + x)) + -1x(x + 8) 320 = ((128 + 8x) + x(16 + x)) + -1x(x + 8) 320 = (128 + 8x + (16 * x + x * x)) + -1x(x + 8) 320 = (128 + 8x + (16x + x2)) + -1x(x + 8) Combine like terms: 8x + 16x = 24x 320 = (128 + 24x + x2) + -1x(x + 8) Reorder the terms: 320 = 128 + 24x + x2 + -1x(8 + x) 320 = 128 + 24x + x2 + (8 * -1x + x * -1x) 320 = 128 + 24x + x2 + (-8x + -1x2) Reorder the terms: 320 = 128 + 24x + -8x + x2 + -1x2 Combine like terms: 24x + -8x = 16x 320 = 128 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 320 = 128 + 16x + 0 320 = 128 + 16x Solving 320 = 128 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 320 + -16x = 128 + 16x + -16x Combine like terms: 16x + -16x = 0 320 + -16x = 128 + 0 320 + -16x = 128 Add '-320' to each side of the equation. 320 + -320 + -16x = 128 + -320 Combine like terms: 320 + -320 = 0 0 + -16x = 128 + -320 -16x = 128 + -320 Combine like terms: 128 + -320 = -192 -16x = -192 Divide each side by '-16'. x = 12 Simplifying x = 12
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