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Simplifying 2(x + 3) + 4x + 6 = 45 Reorder the terms: 2(3 + x) + 4x + 6 = 45 (3 * 2 + x * 2) + 4x + 6 = 45 (6 + 2x) + 4x + 6 = 45 Reorder the terms: 6 + 6 + 2x + 4x = 45 Combine like terms: 6 + 6 = 12 12 + 2x + 4x = 45 Combine like terms: 2x + 4x = 6x 12 + 6x = 45 Solving 12 + 6x = 45 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 = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 45 + -12 6x = 45 + -12 Combine like terms: 45 + -12 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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