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Simplifying 3x + 2 = 5(x + 4) Reorder the terms: 2 + 3x = 5(x + 4) Reorder the terms: 2 + 3x = 5(4 + x) 2 + 3x = (4 * 5 + x * 5) 2 + 3x = (20 + 5x) Solving 2 + 3x = 20 + 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 = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 20 + 0 2 + -2x = 20 Add '-2' to each side of the equation. 2 + -2 + -2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 20 + -2 -2x = 20 + -2 Combine like terms: 20 + -2 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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