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Simplifying 7 + x + -13 = 13x + 21 + -5x Reorder the terms: 7 + -13 + x = 13x + 21 + -5x Combine like terms: 7 + -13 = -6 -6 + x = 13x + 21 + -5x Reorder the terms: -6 + x = 21 + 13x + -5x Combine like terms: 13x + -5x = 8x -6 + x = 21 + 8x Solving -6 + x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + x + -8x = 21 + 8x + -8x Combine like terms: x + -8x = -7x -6 + -7x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -7x = 21 + 0 -6 + -7x = 21 Add '6' to each side of the equation. -6 + 6 + -7x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 21 + 6 -7x = 21 + 6 Combine like terms: 21 + 6 = 27 -7x = 27 Divide each side by '-7'. x = -3.857142857 Simplifying x = -3.857142857
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