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Simplifying 3x + -2 + 2(4x + 2) = -1x + 38 Reorder the terms: 3x + -2 + 2(2 + 4x) = -1x + 38 3x + -2 + (2 * 2 + 4x * 2) = -1x + 38 3x + -2 + (4 + 8x) = -1x + 38 Reorder the terms: -2 + 4 + 3x + 8x = -1x + 38 Combine like terms: -2 + 4 = 2 2 + 3x + 8x = -1x + 38 Combine like terms: 3x + 8x = 11x 2 + 11x = -1x + 38 Reorder the terms: 2 + 11x = 38 + -1x Solving 2 + 11x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 11x + x = 38 + -1x + x Combine like terms: 11x + x = 12x 2 + 12x = 38 + -1x + x Combine like terms: -1x + x = 0 2 + 12x = 38 + 0 2 + 12x = 38 Add '-2' to each side of the equation. 2 + -2 + 12x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 38 + -2 12x = 38 + -2 Combine like terms: 38 + -2 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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