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Simplifying 3x + 1 = 2[3x + 5] Reorder the terms: 1 + 3x = 2[3x + 5] Reorder the terms: 1 + 3x = 2[5 + 3x] 1 + 3x = [5 * 2 + 3x * 2] 1 + 3x = [10 + 6x] Solving 1 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 1 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -3x = 10 + 0 1 + -3x = 10 Add '-1' to each side of the equation. 1 + -1 + -3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 10 + -1 -3x = 10 + -1 Combine like terms: 10 + -1 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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