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Simplifying 3(x + 6) = 2(x + 2 + x + 4) + 2 Reorder the terms: 3(6 + x) = 2(x + 2 + x + 4) + 2 (6 * 3 + x * 3) = 2(x + 2 + x + 4) + 2 (18 + 3x) = 2(x + 2 + x + 4) + 2 Reorder the terms: 18 + 3x = 2(2 + 4 + x + x) + 2 Combine like terms: 2 + 4 = 6 18 + 3x = 2(6 + x + x) + 2 Combine like terms: x + x = 2x 18 + 3x = 2(6 + 2x) + 2 18 + 3x = (6 * 2 + 2x * 2) + 2 18 + 3x = (12 + 4x) + 2 Reorder the terms: 18 + 3x = 12 + 2 + 4x Combine like terms: 12 + 2 = 14 18 + 3x = 14 + 4x Solving 18 + 3x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = 14 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 14 + 0 18 + -1x = 14 Add '-18' to each side of the equation. 18 + -18 + -1x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 14 + -18 -1x = 14 + -18 Combine like terms: 14 + -18 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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