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Simplifying 38 + -8x = -2(1 + 8x) 38 + -8x = (1 * -2 + 8x * -2) 38 + -8x = (-2 + -16x) Solving 38 + -8x = -2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 38 + -8x + 16x = -2 + -16x + 16x Combine like terms: -8x + 16x = 8x 38 + 8x = -2 + -16x + 16x Combine like terms: -16x + 16x = 0 38 + 8x = -2 + 0 38 + 8x = -2 Add '-38' to each side of the equation. 38 + -38 + 8x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = -2 + -38 8x = -2 + -38 Combine like terms: -2 + -38 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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