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Simplifying 4x + 9 + 6x = -5x + -21 Reorder the terms: 9 + 4x + 6x = -5x + -21 Combine like terms: 4x + 6x = 10x 9 + 10x = -5x + -21 Reorder the terms: 9 + 10x = -21 + -5x Solving 9 + 10x = -21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 10x + 5x = -21 + -5x + 5x Combine like terms: 10x + 5x = 15x 9 + 15x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 15x = -21 + 0 9 + 15x = -21 Add '-9' to each side of the equation. 9 + -9 + 15x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = -21 + -9 15x = -21 + -9 Combine like terms: -21 + -9 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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