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Simplifying 8(4 + -1(-5x + -1)) = 120x + 56 Reorder the terms: 8(4 + -1(-1 + -5x)) = 120x + 56 8(4 + (-1 * -1 + -5x * -1)) = 120x + 56 8(4 + (1 + 5x)) = 120x + 56 Combine like terms: 4 + 1 = 5 8(5 + 5x) = 120x + 56 (5 * 8 + 5x * 8) = 120x + 56 (40 + 40x) = 120x + 56 Reorder the terms: 40 + 40x = 56 + 120x Solving 40 + 40x = 56 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 40 + 40x + -120x = 56 + 120x + -120x Combine like terms: 40x + -120x = -80x 40 + -80x = 56 + 120x + -120x Combine like terms: 120x + -120x = 0 40 + -80x = 56 + 0 40 + -80x = 56 Add '-40' to each side of the equation. 40 + -40 + -80x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -80x = 56 + -40 -80x = 56 + -40 Combine like terms: 56 + -40 = 16 -80x = 16 Divide each side by '-80'. x = -0.2 Simplifying x = -0.2
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