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Simplifying 3x + 2x + 4x + -5x + 9 = 6x + -13 Reorder the terms: 9 + 3x + 2x + 4x + -5x = 6x + -13 Combine like terms: 3x + 2x = 5x 9 + 5x + 4x + -5x = 6x + -13 Combine like terms: 5x + 4x = 9x 9 + 9x + -5x = 6x + -13 Combine like terms: 9x + -5x = 4x 9 + 4x = 6x + -13 Reorder the terms: 9 + 4x = -13 + 6x Solving 9 + 4x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 4x + -6x = -13 + 6x + -6x Combine like terms: 4x + -6x = -2x 9 + -2x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -2x = -13 + 0 9 + -2x = -13 Add '-9' to each side of the equation. 9 + -9 + -2x = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -13 + -9 -2x = -13 + -9 Combine like terms: -13 + -9 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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