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Simplifying 5x + 4x + -30 = 45 + -6x Reorder the terms: -30 + 5x + 4x = 45 + -6x Combine like terms: 5x + 4x = 9x -30 + 9x = 45 + -6x Solving -30 + 9x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 9x + 6x = 45 + -6x + 6x Combine like terms: 9x + 6x = 15x -30 + 15x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 15x = 45 + 0 -30 + 15x = 45 Add '30' to each side of the equation. -30 + 30 + 15x = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = 45 + 30 15x = 45 + 30 Combine like terms: 45 + 30 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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