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Simplifying -1(-2x + -38) = -2(-4x + -8) Reorder the terms: -1(-38 + -2x) = -2(-4x + -8) (-38 * -1 + -2x * -1) = -2(-4x + -8) (38 + 2x) = -2(-4x + -8) Reorder the terms: 38 + 2x = -2(-8 + -4x) 38 + 2x = (-8 * -2 + -4x * -2) 38 + 2x = (16 + 8x) Solving 38 + 2x = 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. 38 + 2x + -8x = 16 + 8x + -8x Combine like terms: 2x + -8x = -6x 38 + -6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -6x = 16 + 0 38 + -6x = 16 Add '-38' to each side of the equation. 38 + -38 + -6x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 16 + -38 -6x = 16 + -38 Combine like terms: 16 + -38 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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