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Simplifying 8(4x + 1) = 16x + -40 Reorder the terms: 8(1 + 4x) = 16x + -40 (1 * 8 + 4x * 8) = 16x + -40 (8 + 32x) = 16x + -40 Reorder the terms: 8 + 32x = -40 + 16x Solving 8 + 32x = -40 + 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. 8 + 32x + -16x = -40 + 16x + -16x Combine like terms: 32x + -16x = 16x 8 + 16x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + 16x = -40 + 0 8 + 16x = -40 Add '-8' to each side of the equation. 8 + -8 + 16x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = -40 + -8 16x = -40 + -8 Combine like terms: -40 + -8 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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