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Simplifying 4x + 8(x + -8) = 4(x + -8) Reorder the terms: 4x + 8(-8 + x) = 4(x + -8) 4x + (-8 * 8 + x * 8) = 4(x + -8) 4x + (-64 + 8x) = 4(x + -8) Reorder the terms: -64 + 4x + 8x = 4(x + -8) Combine like terms: 4x + 8x = 12x -64 + 12x = 4(x + -8) Reorder the terms: -64 + 12x = 4(-8 + x) -64 + 12x = (-8 * 4 + x * 4) -64 + 12x = (-32 + 4x) Solving -64 + 12x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -64 + 12x + -4x = -32 + 4x + -4x Combine like terms: 12x + -4x = 8x -64 + 8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 8x = -32 + 0 -64 + 8x = -32 Add '64' to each side of the equation. -64 + 64 + 8x = -32 + 64 Combine like terms: -64 + 64 = 0 0 + 8x = -32 + 64 8x = -32 + 64 Combine like terms: -32 + 64 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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