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Simplifying -2x + 13 = -5x + 21 Reorder the terms: 13 + -2x = -5x + 21 Reorder the terms: 13 + -2x = 21 + -5x Solving 13 + -2x = 21 + -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. 13 + -2x + 5x = 21 + -5x + 5x Combine like terms: -2x + 5x = 3x 13 + 3x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 3x = 21 + 0 13 + 3x = 21 Add '-13' to each side of the equation. 13 + -13 + 3x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 21 + -13 3x = 21 + -13 Combine like terms: 21 + -13 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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