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Simplifying 3x + 7 + 4x = 7 + 8 + 4x + x Reorder the terms: 7 + 3x + 4x = 7 + 8 + 4x + x Combine like terms: 3x + 4x = 7x 7 + 7x = 7 + 8 + 4x + x Combine like terms: 7 + 8 = 15 7 + 7x = 15 + 4x + x Combine like terms: 4x + x = 5x 7 + 7x = 15 + 5x Solving 7 + 7x = 15 + 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 + 7x + -5x = 15 + 5x + -5x Combine like terms: 7x + -5x = 2x 7 + 2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 2x = 15 + 0 7 + 2x = 15 Add '-7' to each side of the equation. 7 + -7 + 2x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 15 + -7 2x = 15 + -7 Combine like terms: 15 + -7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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