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Simplifying 2x + -6 = 5x + -13 Reorder the terms: -6 + 2x = 5x + -13 Reorder the terms: -6 + 2x = -13 + 5x Solving -6 + 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. -6 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = -13 + 0 -6 + -3x = -13 Add '6' to each side of the equation. -6 + 6 + -3x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -13 + 6 -3x = -13 + 6 Combine like terms: -13 + 6 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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