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Simplifying 7x + 9 + -2x = -24 + -16x + -9 Reorder the terms: 9 + 7x + -2x = -24 + -16x + -9 Combine like terms: 7x + -2x = 5x 9 + 5x = -24 + -16x + -9 Reorder the terms: 9 + 5x = -24 + -9 + -16x Combine like terms: -24 + -9 = -33 9 + 5x = -33 + -16x Solving 9 + 5x = -33 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 9 + 5x + 16x = -33 + -16x + 16x Combine like terms: 5x + 16x = 21x 9 + 21x = -33 + -16x + 16x Combine like terms: -16x + 16x = 0 9 + 21x = -33 + 0 9 + 21x = -33 Add '-9' to each side of the equation. 9 + -9 + 21x = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = -33 + -9 21x = -33 + -9 Combine like terms: -33 + -9 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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