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Simplifying 7x + 8x + 9x = 4x + 3x + 12x + 30 Combine like terms: 7x + 8x = 15x 15x + 9x = 4x + 3x + 12x + 30 Combine like terms: 15x + 9x = 24x 24x = 4x + 3x + 12x + 30 Reorder the terms: 24x = 30 + 4x + 3x + 12x Combine like terms: 4x + 3x = 7x 24x = 30 + 7x + 12x Combine like terms: 7x + 12x = 19x 24x = 30 + 19x Solving 24x = 30 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 24x + -19x = 30 + 19x + -19x Combine like terms: 24x + -19x = 5x 5x = 30 + 19x + -19x Combine like terms: 19x + -19x = 0 5x = 30 + 0 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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