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