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Simplifying 4 + 4x + 1 = 3x + 7 Reorder the terms: 4 + 1 + 4x = 3x + 7 Combine like terms: 4 + 1 = 5 5 + 4x = 3x + 7 Reorder the terms: 5 + 4x = 7 + 3x Solving 5 + 4x = 7 + 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. 5 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 7 + 0 5 + 1x = 7 Add '-5' to each side of the equation. 5 + -5 + 1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 7 + -5 1x = 7 + -5 Combine like terms: 7 + -5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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