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Simplifying 5x + -30 = 3x + 54 + -5x Reorder the terms: -30 + 5x = 3x + 54 + -5x Reorder the terms: -30 + 5x = 54 + 3x + -5x Combine like terms: 3x + -5x = -2x -30 + 5x = 54 + -2x Solving -30 + 5x = 54 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 5x + 2x = 54 + -2x + 2x Combine like terms: 5x + 2x = 7x -30 + 7x = 54 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 7x = 54 + 0 -30 + 7x = 54 Add '30' to each side of the equation. -30 + 30 + 7x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 54 + 30 7x = 54 + 30 Combine like terms: 54 + 30 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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