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Simplifying 2x + -6 + 4x + -8 = 5x + 40 Reorder the terms: -6 + -8 + 2x + 4x = 5x + 40 Combine like terms: -6 + -8 = -14 -14 + 2x + 4x = 5x + 40 Combine like terms: 2x + 4x = 6x -14 + 6x = 5x + 40 Reorder the terms: -14 + 6x = 40 + 5x Solving -14 + 6x = 40 + 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. -14 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x -14 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 1x = 40 + 0 -14 + 1x = 40 Add '14' to each side of the equation. -14 + 14 + 1x = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 40 + 14 1x = 40 + 14 Combine like terms: 40 + 14 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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