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Simplifying 4(x + [x + 2]) = 6(x + 2) + 2 Reorder the terms: 4(x + [2 + x]) = 6(x + 2) + 2 Remove brackets around [2 + x] 4(x + 2 + x) = 6(x + 2) + 2 Reorder the terms: 4(2 + x + x) = 6(x + 2) + 2 Combine like terms: x + x = 2x 4(2 + 2x) = 6(x + 2) + 2 (2 * 4 + 2x * 4) = 6(x + 2) + 2 (8 + 8x) = 6(x + 2) + 2 Reorder the terms: 8 + 8x = 6(2 + x) + 2 8 + 8x = (2 * 6 + x * 6) + 2 8 + 8x = (12 + 6x) + 2 Reorder the terms: 8 + 8x = 12 + 2 + 6x Combine like terms: 12 + 2 = 14 8 + 8x = 14 + 6x Solving 8 + 8x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 14 + 0 8 + 2x = 14 Add '-8' to each side of the equation. 8 + -8 + 2x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 14 + -8 2x = 14 + -8 Combine like terms: 14 + -8 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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