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Simplifying -2(-2x + -38) = -2(-4x + -8) Reorder the terms: -2(-38 + -2x) = -2(-4x + -8) (-38 * -2 + -2x * -2) = -2(-4x + -8) (76 + 4x) = -2(-4x + -8) Reorder the terms: 76 + 4x = -2(-8 + -4x) 76 + 4x = (-8 * -2 + -4x * -2) 76 + 4x = (16 + 8x) Solving 76 + 4x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 76 + 4x + -8x = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x 76 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 76 + -4x = 16 + 0 76 + -4x = 16 Add '-76' to each side of the equation. 76 + -76 + -4x = 16 + -76 Combine like terms: 76 + -76 = 0 0 + -4x = 16 + -76 -4x = 16 + -76 Combine like terms: 16 + -76 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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