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Simplifying 4x + 6x + -30 = 45 + -5x Reorder the terms: -30 + 4x + 6x = 45 + -5x Combine like terms: 4x + 6x = 10x -30 + 10x = 45 + -5x Solving -30 + 10x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 10x + 5x = 45 + -5x + 5x Combine like terms: 10x + 5x = 15x -30 + 15x = 45 + -5x + 5x Combine like terms: -5x + 5x = 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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