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Simplifying 7x + 4 = -5 + 3x + 17 Reorder the terms: 4 + 7x = -5 + 3x + 17 Reorder the terms: 4 + 7x = -5 + 17 + 3x Combine like terms: -5 + 17 = 12 4 + 7x = 12 + 3x Solving 4 + 7x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x 4 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 4x = 12 + 0 4 + 4x = 12 Add '-4' to each side of the equation. 4 + -4 + 4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 12 + -4 4x = 12 + -4 Combine like terms: 12 + -4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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