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Simplifying 3x + 1 = 3 + -3x + 16 Reorder the terms: 1 + 3x = 3 + -3x + 16 Reorder the terms: 1 + 3x = 3 + 16 + -3x Combine like terms: 3 + 16 = 19 1 + 3x = 19 + -3x Solving 1 + 3x = 19 + -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. 1 + 3x + 3x = 19 + -3x + 3x Combine like terms: 3x + 3x = 6x 1 + 6x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 6x = 19 + 0 1 + 6x = 19 Add '-1' to each side of the equation. 1 + -1 + 6x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 19 + -1 6x = 19 + -1 Combine like terms: 19 + -1 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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