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Simplifying 2x + -3 + 5x + -8 = 6x + 54 Reorder the terms: -3 + -8 + 2x + 5x = 6x + 54 Combine like terms: -3 + -8 = -11 -11 + 2x + 5x = 6x + 54 Combine like terms: 2x + 5x = 7x -11 + 7x = 6x + 54 Reorder the terms: -11 + 7x = 54 + 6x Solving -11 + 7x = 54 + 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. -11 + 7x + -6x = 54 + 6x + -6x Combine like terms: 7x + -6x = 1x -11 + 1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 1x = 54 + 0 -11 + 1x = 54 Add '11' to each side of the equation. -11 + 11 + 1x = 54 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 54 + 11 1x = 54 + 11 Combine like terms: 54 + 11 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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