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Simplifying 2x + 5 + 4x + -6 = x + 54 Reorder the terms: 5 + -6 + 2x + 4x = x + 54 Combine like terms: 5 + -6 = -1 -1 + 2x + 4x = x + 54 Combine like terms: 2x + 4x = 6x -1 + 6x = x + 54 Reorder the terms: -1 + 6x = 54 + x Solving -1 + 6x = 54 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 6x + -1x = 54 + x + -1x Combine like terms: 6x + -1x = 5x -1 + 5x = 54 + x + -1x Combine like terms: x + -1x = 0 -1 + 5x = 54 + 0 -1 + 5x = 54 Add '1' to each side of the equation. -1 + 1 + 5x = 54 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 54 + 1 5x = 54 + 1 Combine like terms: 54 + 1 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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