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Simplifying 1 + 5x + -2 = 2x + 7 Reorder the terms: 1 + -2 + 5x = 2x + 7 Combine like terms: 1 + -2 = -1 -1 + 5x = 2x + 7 Reorder the terms: -1 + 5x = 7 + 2x Solving -1 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = 7 + 0 -1 + 3x = 7 Add '1' to each side of the equation. -1 + 1 + 3x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 7 + 1 3x = 7 + 1 Combine like terms: 7 + 1 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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