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Simplifying (x + 16)(x + 4) = x(x + 10) + 14x Reorder the terms: (16 + x)(x + 4) = x(x + 10) + 14x Reorder the terms: (16 + x)(4 + x) = x(x + 10) + 14x Multiply (16 + x) * (4 + x) (16(4 + x) + x(4 + x)) = x(x + 10) + 14x ((4 * 16 + x * 16) + x(4 + x)) = x(x + 10) + 14x ((64 + 16x) + x(4 + x)) = x(x + 10) + 14x (64 + 16x + (4 * x + x * x)) = x(x + 10) + 14x (64 + 16x + (4x + x2)) = x(x + 10) + 14x Combine like terms: 16x + 4x = 20x (64 + 20x + x2) = x(x + 10) + 14x Reorder the terms: 64 + 20x + x2 = x(10 + x) + 14x 64 + 20x + x2 = (10 * x + x * x) + 14x 64 + 20x + x2 = (10x + x2) + 14x Reorder the terms: 64 + 20x + x2 = 10x + 14x + x2 Combine like terms: 10x + 14x = 24x 64 + 20x + x2 = 24x + x2 Add '-1x2' to each side of the equation. 64 + 20x + x2 + -1x2 = 24x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 64 + 20x + 0 = 24x + x2 + -1x2 64 + 20x = 24x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 64 + 20x = 24x + 0 64 + 20x = 24x Solving 64 + 20x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 64 + 20x + -24x = 24x + -24x Combine like terms: 20x + -24x = -4x 64 + -4x = 24x + -24x Combine like terms: 24x + -24x = 0 64 + -4x = 0 Add '-64' to each side of the equation. 64 + -64 + -4x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -4x = 0 + -64 -4x = 0 + -64 Combine like terms: 0 + -64 = -64 -4x = -64 Divide each side by '-4'. x = 16 Simplifying x = 16
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