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