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Simplifying [7x + -7] + 3 = 4x + 1 Reorder the terms: [-7 + 7x] + 3 = 4x + 1 Remove brackets around [-7 + 7x] -7 + 7x + 3 = 4x + 1 Reorder the terms: -7 + 3 + 7x = 4x + 1 Combine like terms: -7 + 3 = -4 -4 + 7x = 4x + 1 Reorder the terms: -4 + 7x = 1 + 4x Solving -4 + 7x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 7x + -4x = 1 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = 1 + 0 -4 + 3x = 1 Add '4' to each side of the equation. -4 + 4 + 3x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 1 + 4 3x = 1 + 4 Combine like terms: 1 + 4 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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