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Simplifying 6x + (4 + x)(x + -4) = x(x + 2) + -8(2 + -1x) Reorder the terms: 6x + (4 + x)(-4 + x) = x(x + 2) + -8(2 + -1x) Multiply (4 + x) * (-4 + x) 6x + (4(-4 + x) + x(-4 + x)) = x(x + 2) + -8(2 + -1x) 6x + ((-4 * 4 + x * 4) + x(-4 + x)) = x(x + 2) + -8(2 + -1x) 6x + ((-16 + 4x) + x(-4 + x)) = x(x + 2) + -8(2 + -1x) 6x + (-16 + 4x + (-4 * x + x * x)) = x(x + 2) + -8(2 + -1x) 6x + (-16 + 4x + (-4x + x2)) = x(x + 2) + -8(2 + -1x) Combine like terms: 4x + -4x = 0 6x + (-16 + 0 + x2) = x(x + 2) + -8(2 + -1x) 6x + (-16 + x2) = x(x + 2) + -8(2 + -1x) Reorder the terms: -16 + 6x + x2 = x(x + 2) + -8(2 + -1x) Reorder the terms: -16 + 6x + x2 = x(2 + x) + -8(2 + -1x) -16 + 6x + x2 = (2 * x + x * x) + -8(2 + -1x) -16 + 6x + x2 = (2x + x2) + -8(2 + -1x) -16 + 6x + x2 = 2x + x2 + (2 * -8 + -1x * -8) -16 + 6x + x2 = 2x + x2 + (-16 + 8x) Reorder the terms: -16 + 6x + x2 = -16 + 2x + 8x + x2 Combine like terms: 2x + 8x = 10x -16 + 6x + x2 = -16 + 10x + x2 Add '16' to each side of the equation. -16 + 6x + 16 + x2 = -16 + 10x + 16 + x2 Reorder the terms: -16 + 16 + 6x + x2 = -16 + 10x + 16 + x2 Combine like terms: -16 + 16 = 0 0 + 6x + x2 = -16 + 10x + 16 + x2 6x + x2 = -16 + 10x + 16 + x2 Reorder the terms: 6x + x2 = -16 + 16 + 10x + x2 Combine like terms: -16 + 16 = 0 6x + x2 = 0 + 10x + x2 6x + x2 = 10x + x2 Add '-1x2' to each side of the equation. 6x + x2 + -1x2 = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x + 0 = 10x + x2 + -1x2 6x = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x = 10x + 0 6x = 10x Solving 6x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x -4x = 10x + -10x Combine like terms: 10x + -10x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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