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Simplifying [3x + -7] = x + 1 Reorder the terms: [-7 + 3x] = x + 1 Remove brackets around [-7 + 3x] -7 + 3x = x + 1 Reorder the terms: -7 + 3x = 1 + x Solving -7 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -7 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -7 + 2x = 1 + 0 -7 + 2x = 1 Add '7' to each side of the equation. -7 + 7 + 2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 1 + 7 2x = 1 + 7 Combine like terms: 1 + 7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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