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Simplifying 4(x + -8) + 4(3x + 6) = 48 Reorder the terms: 4(-8 + x) + 4(3x + 6) = 48 (-8 * 4 + x * 4) + 4(3x + 6) = 48 (-32 + 4x) + 4(3x + 6) = 48 Reorder the terms: -32 + 4x + 4(6 + 3x) = 48 -32 + 4x + (6 * 4 + 3x * 4) = 48 -32 + 4x + (24 + 12x) = 48 Reorder the terms: -32 + 24 + 4x + 12x = 48 Combine like terms: -32 + 24 = -8 -8 + 4x + 12x = 48 Combine like terms: 4x + 12x = 16x -8 + 16x = 48 Solving -8 + 16x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 16x = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 48 + 8 16x = 48 + 8 Combine like terms: 48 + 8 = 56 16x = 56 Divide each side by '16'. x = 3.5 Simplifying x = 3.5
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