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Simplifying 3x + 2 = x + 4(x + 2) Reorder the terms: 2 + 3x = x + 4(x + 2) Reorder the terms: 2 + 3x = x + 4(2 + x) 2 + 3x = x + (2 * 4 + x * 4) 2 + 3x = x + (8 + 4x) Reorder the terms: 2 + 3x = 8 + x + 4x Combine like terms: x + 4x = 5x 2 + 3x = 8 + 5x Solving 2 + 3x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 8 + 0 2 + -2x = 8 Add '-2' to each side of the equation. 2 + -2 + -2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 8 + -2 -2x = 8 + -2 Combine like terms: 8 + -2 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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