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Simplifying 3(2x + 1) + 6x = 83 + -4x Reorder the terms: 3(1 + 2x) + 6x = 83 + -4x (1 * 3 + 2x * 3) + 6x = 83 + -4x (3 + 6x) + 6x = 83 + -4x Combine like terms: 6x + 6x = 12x 3 + 12x = 83 + -4x Solving 3 + 12x = 83 + -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. 3 + 12x + 4x = 83 + -4x + 4x Combine like terms: 12x + 4x = 16x 3 + 16x = 83 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 16x = 83 + 0 3 + 16x = 83 Add '-3' to each side of the equation. 3 + -3 + 16x = 83 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 83 + -3 16x = 83 + -3 Combine like terms: 83 + -3 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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