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Simplifying 3(x + 1) = 19 + -5x Reorder the terms: 3(1 + x) = 19 + -5x (1 * 3 + x * 3) = 19 + -5x (3 + 3x) = 19 + -5x Solving 3 + 3x = 19 + -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. 3 + 3x + 5x = 19 + -5x + 5x Combine like terms: 3x + 5x = 8x 3 + 8x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 8x = 19 + 0 3 + 8x = 19 Add '-3' to each side of the equation. 3 + -3 + 8x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 19 + -3 8x = 19 + -3 Combine like terms: 19 + -3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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