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Simplifying 2x + -7 = 5x + 13 Reorder the terms: -7 + 2x = 5x + 13 Reorder the terms: -7 + 2x = 13 + 5x Solving -7 + 2x = 13 + 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. -7 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = 13 + 0 -7 + -3x = 13 Add '7' to each side of the equation. -7 + 7 + -3x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 13 + 7 -3x = 13 + 7 Combine like terms: 13 + 7 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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