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Simplifying 3x + 2x + -54 = 2x + 5x Reorder the terms: -54 + 3x + 2x = 2x + 5x Combine like terms: 3x + 2x = 5x -54 + 5x = 2x + 5x Combine like terms: 2x + 5x = 7x -54 + 5x = 7x Solving -54 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -54 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -54 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -54 + -2x = 0 Add '54' to each side of the equation. -54 + 54 + -2x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = 0 + 54 -2x = 0 + 54 Combine like terms: 0 + 54 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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