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Simplifying 5x + 2x + -27 = x + 100 Reorder the terms: -27 + 5x + 2x = x + 100 Combine like terms: 5x + 2x = 7x -27 + 7x = x + 100 Reorder the terms: -27 + 7x = 100 + x Solving -27 + 7x = 100 + 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. -27 + 7x + -1x = 100 + x + -1x Combine like terms: 7x + -1x = 6x -27 + 6x = 100 + x + -1x Combine like terms: x + -1x = 0 -27 + 6x = 100 + 0 -27 + 6x = 100 Add '27' to each side of the equation. -27 + 27 + 6x = 100 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 100 + 27 6x = 100 + 27 Combine like terms: 100 + 27 = 127 6x = 127 Divide each side by '6'. x = 21.16666667 Simplifying x = 21.16666667
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