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Simplifying 13x + -9x + 6 = 20 + -3x + 4x Reorder the terms: 6 + 13x + -9x = 20 + -3x + 4x Combine like terms: 13x + -9x = 4x 6 + 4x = 20 + -3x + 4x Combine like terms: -3x + 4x = 1x 6 + 4x = 20 + 1x Solving 6 + 4x = 20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 4x + -1x = 20 + 1x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = 20 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 3x = 20 + 0 6 + 3x = 20 Add '-6' to each side of the equation. 6 + -6 + 3x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 20 + -6 3x = 20 + -6 Combine like terms: 20 + -6 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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