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Simplifying 9(5x + 12) + 6x = 4x + 3 Reorder the terms: 9(12 + 5x) + 6x = 4x + 3 (12 * 9 + 5x * 9) + 6x = 4x + 3 (108 + 45x) + 6x = 4x + 3 Combine like terms: 45x + 6x = 51x 108 + 51x = 4x + 3 Reorder the terms: 108 + 51x = 3 + 4x Solving 108 + 51x = 3 + 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. 108 + 51x + -4x = 3 + 4x + -4x Combine like terms: 51x + -4x = 47x 108 + 47x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 108 + 47x = 3 + 0 108 + 47x = 3 Add '-108' to each side of the equation. 108 + -108 + 47x = 3 + -108 Combine like terms: 108 + -108 = 0 0 + 47x = 3 + -108 47x = 3 + -108 Combine like terms: 3 + -108 = -105 47x = -105 Divide each side by '47'. x = -2.234042553 Simplifying x = -2.234042553
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