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Simplifying -2(2x + -3) + 2(8x + 8) = 38 Reorder the terms: -2(-3 + 2x) + 2(8x + 8) = 38 (-3 * -2 + 2x * -2) + 2(8x + 8) = 38 (6 + -4x) + 2(8x + 8) = 38 Reorder the terms: 6 + -4x + 2(8 + 8x) = 38 6 + -4x + (8 * 2 + 8x * 2) = 38 6 + -4x + (16 + 16x) = 38 Reorder the terms: 6 + 16 + -4x + 16x = 38 Combine like terms: 6 + 16 = 22 22 + -4x + 16x = 38 Combine like terms: -4x + 16x = 12x 22 + 12x = 38 Solving 22 + 12x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 12x = 38 + -22 Combine like terms: 22 + -22 = 0 0 + 12x = 38 + -22 12x = 38 + -22 Combine like terms: 38 + -22 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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