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Simplifying 2(2x + 8) = 4(5 + 3x) Reorder the terms: 2(8 + 2x) = 4(5 + 3x) (8 * 2 + 2x * 2) = 4(5 + 3x) (16 + 4x) = 4(5 + 3x) 16 + 4x = (5 * 4 + 3x * 4) 16 + 4x = (20 + 12x) Solving 16 + 4x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 4x + -12x = 20 + 12x + -12x Combine like terms: 4x + -12x = -8x 16 + -8x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -8x = 20 + 0 16 + -8x = 20 Add '-16' to each side of the equation. 16 + -16 + -8x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 20 + -16 -8x = 20 + -16 Combine like terms: 20 + -16 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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