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Simplifying 4x + -7 + 8x = 17 + 5x + -3 Reorder the terms: -7 + 4x + 8x = 17 + 5x + -3 Combine like terms: 4x + 8x = 12x -7 + 12x = 17 + 5x + -3 Reorder the terms: -7 + 12x = 17 + -3 + 5x Combine like terms: 17 + -3 = 14 -7 + 12x = 14 + 5x Solving -7 + 12x = 14 + 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. -7 + 12x + -5x = 14 + 5x + -5x Combine like terms: 12x + -5x = 7x -7 + 7x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 7x = 14 + 0 -7 + 7x = 14 Add '7' to each side of the equation. -7 + 7 + 7x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 14 + 7 7x = 14 + 7 Combine like terms: 14 + 7 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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