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Simplifying 7x + 23 = 4x + 8x + -22 Reorder the terms: 23 + 7x = 4x + 8x + -22 Reorder the terms: 23 + 7x = -22 + 4x + 8x Combine like terms: 4x + 8x = 12x 23 + 7x = -22 + 12x Solving 23 + 7x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 23 + 7x + -12x = -22 + 12x + -12x Combine like terms: 7x + -12x = -5x 23 + -5x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + -5x = -22 + 0 23 + -5x = -22 Add '-23' to each side of the equation. 23 + -23 + -5x = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -22 + -23 -5x = -22 + -23 Combine like terms: -22 + -23 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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