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Simplifying 4x + 5 + 2x = 13 + 9x + 21 Reorder the terms: 5 + 4x + 2x = 13 + 9x + 21 Combine like terms: 4x + 2x = 6x 5 + 6x = 13 + 9x + 21 Reorder the terms: 5 + 6x = 13 + 21 + 9x Combine like terms: 13 + 21 = 34 5 + 6x = 34 + 9x Solving 5 + 6x = 34 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 6x + -9x = 34 + 9x + -9x Combine like terms: 6x + -9x = -3x 5 + -3x = 34 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -3x = 34 + 0 5 + -3x = 34 Add '-5' to each side of the equation. 5 + -5 + -3x = 34 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 34 + -5 -3x = 34 + -5 Combine like terms: 34 + -5 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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