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Simplifying 2(x + 3) + 4x + 6 = 54 Reorder the terms: 2(3 + x) + 4x + 6 = 54 (3 * 2 + x * 2) + 4x + 6 = 54 (6 + 2x) + 4x + 6 = 54 Reorder the terms: 6 + 6 + 2x + 4x = 54 Combine like terms: 6 + 6 = 12 12 + 2x + 4x = 54 Combine like terms: 2x + 4x = 6x 12 + 6x = 54 Solving 12 + 6x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 54 + -12 6x = 54 + -12 Combine like terms: 54 + -12 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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