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Simplifying 4(3x + 2) = 8(2x + 1) Reorder the terms: 4(2 + 3x) = 8(2x + 1) (2 * 4 + 3x * 4) = 8(2x + 1) (8 + 12x) = 8(2x + 1) Reorder the terms: 8 + 12x = 8(1 + 2x) 8 + 12x = (1 * 8 + 2x * 8) 8 + 12x = (8 + 16x) Add '-8' to each side of the equation. 8 + -8 + 12x = 8 + -8 + 16x Combine like terms: 8 + -8 = 0 0 + 12x = 8 + -8 + 16x 12x = 8 + -8 + 16x Combine like terms: 8 + -8 = 0 12x = 0 + 16x 12x = 16x Solving 12x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12x + -16x = 16x + -16x Combine like terms: 12x + -16x = -4x -4x = 16x + -16x Combine like terms: 16x + -16x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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