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Simplifying [2x + 6] = [5x + 3] Reorder the terms: [6 + 2x] = [5x + 3] Remove brackets around [6 + 2x] 6 + 2x = [5x + 3] Reorder the terms: 6 + 2x = [3 + 5x] Remove brackets around [3 + 5x] 6 + 2x = 3 + 5x Solving 6 + 2x = 3 + 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. 6 + 2x + -5x = 3 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = 3 + 0 6 + -3x = 3 Add '-6' to each side of the equation. 6 + -6 + -3x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 3 + -6 -3x = 3 + -6 Combine like terms: 3 + -6 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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