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Simplifying 2 + 3(x + 6) = 4(x + 2) Reorder the terms: 2 + 3(6 + x) = 4(x + 2) 2 + (6 * 3 + x * 3) = 4(x + 2) 2 + (18 + 3x) = 4(x + 2) Combine like terms: 2 + 18 = 20 20 + 3x = 4(x + 2) Reorder the terms: 20 + 3x = 4(2 + x) 20 + 3x = (2 * 4 + x * 4) 20 + 3x = (8 + 4x) Solving 20 + 3x = 8 + 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. 20 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 20 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -1x = 8 + 0 20 + -1x = 8 Add '-20' to each side of the equation. 20 + -20 + -1x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 8 + -20 -1x = 8 + -20 Combine like terms: 8 + -20 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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