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Simplifying 12(x + 1) = 6x + 4 + 2x Reorder the terms: 12(1 + x) = 6x + 4 + 2x (1 * 12 + x * 12) = 6x + 4 + 2x (12 + 12x) = 6x + 4 + 2x Reorder the terms: 12 + 12x = 4 + 6x + 2x Combine like terms: 6x + 2x = 8x 12 + 12x = 4 + 8x Solving 12 + 12x = 4 + 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. 12 + 12x + -8x = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x 12 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 4x = 4 + 0 12 + 4x = 4 Add '-12' to each side of the equation. 12 + -12 + 4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 4 + -12 4x = 4 + -12 Combine like terms: 4 + -12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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