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Simplifying 9x + 3 + -2x + 81 = 15x + 2 + 4x + 22 Reorder the terms: 3 + 81 + 9x + -2x = 15x + 2 + 4x + 22 Combine like terms: 3 + 81 = 84 84 + 9x + -2x = 15x + 2 + 4x + 22 Combine like terms: 9x + -2x = 7x 84 + 7x = 15x + 2 + 4x + 22 Reorder the terms: 84 + 7x = 2 + 22 + 15x + 4x Combine like terms: 2 + 22 = 24 84 + 7x = 24 + 15x + 4x Combine like terms: 15x + 4x = 19x 84 + 7x = 24 + 19x Solving 84 + 7x = 24 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 84 + 7x + -19x = 24 + 19x + -19x Combine like terms: 7x + -19x = -12x 84 + -12x = 24 + 19x + -19x Combine like terms: 19x + -19x = 0 84 + -12x = 24 + 0 84 + -12x = 24 Add '-84' to each side of the equation. 84 + -84 + -12x = 24 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = 24 + -84 -12x = 24 + -84 Combine like terms: 24 + -84 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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