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Simplifying 4(2x + 6) + -3x + 2 = 66 Reorder the terms: 4(6 + 2x) + -3x + 2 = 66 (6 * 4 + 2x * 4) + -3x + 2 = 66 (24 + 8x) + -3x + 2 = 66 Reorder the terms: 24 + 2 + 8x + -3x = 66 Combine like terms: 24 + 2 = 26 26 + 8x + -3x = 66 Combine like terms: 8x + -3x = 5x 26 + 5x = 66 Solving 26 + 5x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 5x = 66 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = 66 + -26 5x = 66 + -26 Combine like terms: 66 + -26 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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