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Simplifying 3x + 3(x + -2) + 8 = 38 Reorder the terms: 3x + 3(-2 + x) + 8 = 38 3x + (-2 * 3 + x * 3) + 8 = 38 3x + (-6 + 3x) + 8 = 38 Reorder the terms: -6 + 8 + 3x + 3x = 38 Combine like terms: -6 + 8 = 2 2 + 3x + 3x = 38 Combine like terms: 3x + 3x = 6x 2 + 6x = 38 Solving 2 + 6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 38 + -2 6x = 38 + -2 Combine like terms: 38 + -2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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