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