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Simplifying 9x + 11 + 3x + 10 = 4x + 13 Reorder the terms: 11 + 10 + 9x + 3x = 4x + 13 Combine like terms: 11 + 10 = 21 21 + 9x + 3x = 4x + 13 Combine like terms: 9x + 3x = 12x 21 + 12x = 4x + 13 Reorder the terms: 21 + 12x = 13 + 4x Solving 21 + 12x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 12x + -4x = 13 + 4x + -4x Combine like terms: 12x + -4x = 8x 21 + 8x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 8x = 13 + 0 21 + 8x = 13 Add '-21' to each side of the equation. 21 + -21 + 8x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 13 + -21 8x = 13 + -21 Combine like terms: 13 + -21 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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