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Simplifying 9x + 79 + -5x + -36 = 85 + -4x + 98 + -4x + 52 Reorder the terms: 79 + -36 + 9x + -5x = 85 + -4x + 98 + -4x + 52 Combine like terms: 79 + -36 = 43 43 + 9x + -5x = 85 + -4x + 98 + -4x + 52 Combine like terms: 9x + -5x = 4x 43 + 4x = 85 + -4x + 98 + -4x + 52 Reorder the terms: 43 + 4x = 85 + 98 + 52 + -4x + -4x Combine like terms: 85 + 98 = 183 43 + 4x = 183 + 52 + -4x + -4x Combine like terms: 183 + 52 = 235 43 + 4x = 235 + -4x + -4x Combine like terms: -4x + -4x = -8x 43 + 4x = 235 + -8x Solving 43 + 4x = 235 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 43 + 4x + 8x = 235 + -8x + 8x Combine like terms: 4x + 8x = 12x 43 + 12x = 235 + -8x + 8x Combine like terms: -8x + 8x = 0 43 + 12x = 235 + 0 43 + 12x = 235 Add '-43' to each side of the equation. 43 + -43 + 12x = 235 + -43 Combine like terms: 43 + -43 = 0 0 + 12x = 235 + -43 12x = 235 + -43 Combine like terms: 235 + -43 = 192 12x = 192 Divide each side by '12'. x = 16 Simplifying x = 16
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