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Simplifying 2(3x + 12) = 2(4x + 8) Reorder the terms: 2(12 + 3x) = 2(4x + 8) (12 * 2 + 3x * 2) = 2(4x + 8) (24 + 6x) = 2(4x + 8) Reorder the terms: 24 + 6x = 2(8 + 4x) 24 + 6x = (8 * 2 + 4x * 2) 24 + 6x = (16 + 8x) Solving 24 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = 16 + 0 24 + -2x = 16 Add '-24' to each side of the equation. 24 + -24 + -2x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 16 + -24 -2x = 16 + -24 Combine like terms: 16 + -24 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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