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Simplifying 12x + -2[3(x + 1)] = 2(x + 3) Reorder the terms: 12x + -2[3(1 + x)] = 2(x + 3) 12x + -2[(1 * 3 + x * 3)] = 2(x + 3) 12x + -2[(3 + 3x)] = 2(x + 3) 12x + [3 * -2 + 3x * -2] = 2(x + 3) 12x + [-6 + -6x] = 2(x + 3) Reorder the terms: -6 + 12x + -6x = 2(x + 3) Combine like terms: 12x + -6x = 6x -6 + 6x = 2(x + 3) Reorder the terms: -6 + 6x = 2(3 + x) -6 + 6x = (3 * 2 + x * 2) -6 + 6x = (6 + 2x) Solving -6 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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