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Simplifying 5x + 6 = 3(x + 4) Reorder the terms: 6 + 5x = 3(x + 4) Reorder the terms: 6 + 5x = 3(4 + x) 6 + 5x = (4 * 3 + x * 3) 6 + 5x = (12 + 3x) Solving 6 + 5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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