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Simplifying 4(3x + 4) = 6x + 2x + 8 Reorder the terms: 4(4 + 3x) = 6x + 2x + 8 (4 * 4 + 3x * 4) = 6x + 2x + 8 (16 + 12x) = 6x + 2x + 8 Reorder the terms: 16 + 12x = 8 + 6x + 2x Combine like terms: 6x + 2x = 8x 16 + 12x = 8 + 8x Solving 16 + 12x = 8 + 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. 16 + 12x + -8x = 8 + 8x + -8x Combine like terms: 12x + -8x = 4x 16 + 4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 4x = 8 + 0 16 + 4x = 8 Add '-16' to each side of the equation. 16 + -16 + 4x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 8 + -16 4x = 8 + -16 Combine like terms: 8 + -16 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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