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Simplifying 5x + 6 = 2(2x + 12) Reorder the terms: 6 + 5x = 2(2x + 12) Reorder the terms: 6 + 5x = 2(12 + 2x) 6 + 5x = (12 * 2 + 2x * 2) 6 + 5x = (24 + 4x) Solving 6 + 5x = 24 + 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. 6 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = 24 + 0 6 + 1x = 24 Add '-6' to each side of the equation. 6 + -6 + 1x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 24 + -6 1x = 24 + -6 Combine like terms: 24 + -6 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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