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Simplifying 4(2x + -2) + 4(x + 8) = 48 Reorder the terms: 4(-2 + 2x) + 4(x + 8) = 48 (-2 * 4 + 2x * 4) + 4(x + 8) = 48 (-8 + 8x) + 4(x + 8) = 48 Reorder the terms: -8 + 8x + 4(8 + x) = 48 -8 + 8x + (8 * 4 + x * 4) = 48 -8 + 8x + (32 + 4x) = 48 Reorder the terms: -8 + 32 + 8x + 4x = 48 Combine like terms: -8 + 32 = 24 24 + 8x + 4x = 48 Combine like terms: 8x + 4x = 12x 24 + 12x = 48 Solving 24 + 12x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 48 + -24 12x = 48 + -24 Combine like terms: 48 + -24 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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