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Simplifying 5x + 2x + -5 = 2(x + 1) + -1x Reorder the terms: -5 + 5x + 2x = 2(x + 1) + -1x Combine like terms: 5x + 2x = 7x -5 + 7x = 2(x + 1) + -1x Reorder the terms: -5 + 7x = 2(1 + x) + -1x -5 + 7x = (1 * 2 + x * 2) + -1x -5 + 7x = (2 + 2x) + -1x Combine like terms: 2x + -1x = 1x -5 + 7x = 2 + 1x Solving -5 + 7x = 2 + 1x 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. -5 + 7x + -1x = 2 + 1x + -1x Combine like terms: 7x + -1x = 6x -5 + 6x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 6x = 2 + 0 -5 + 6x = 2 Add '5' to each side of the equation. -5 + 5 + 6x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 2 + 5 6x = 2 + 5 Combine like terms: 2 + 5 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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