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Simplifying 8(1 + 7x) = -3(5 + -2x) (1 * 8 + 7x * 8) = -3(5 + -2x) (8 + 56x) = -3(5 + -2x) 8 + 56x = (5 * -3 + -2x * -3) 8 + 56x = (-15 + 6x) Solving 8 + 56x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 56x + -6x = -15 + 6x + -6x Combine like terms: 56x + -6x = 50x 8 + 50x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 50x = -15 + 0 8 + 50x = -15 Add '-8' to each side of the equation. 8 + -8 + 50x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + 50x = -15 + -8 50x = -15 + -8 Combine like terms: -15 + -8 = -23 50x = -23 Divide each side by '50'. x = -0.46 Simplifying x = -0.46
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