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Simplifying 3(x + 1) = -2 + x + 19 Reorder the terms: 3(1 + x) = -2 + x + 19 (1 * 3 + x * 3) = -2 + x + 19 (3 + 3x) = -2 + x + 19 Reorder the terms: 3 + 3x = -2 + 19 + x Combine like terms: -2 + 19 = 17 3 + 3x = 17 + x Solving 3 + 3x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 3x + -1x = 17 + x + -1x Combine like terms: 3x + -1x = 2x 3 + 2x = 17 + x + -1x Combine like terms: x + -1x = 0 3 + 2x = 17 + 0 3 + 2x = 17 Add '-3' to each side of the equation. 3 + -3 + 2x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 17 + -3 2x = 17 + -3 Combine like terms: 17 + -3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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