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Simplifying 8(5 + x) = (7x + -6) (5 * 8 + x * 8) = (7x + -6) (40 + 8x) = (7x + -6) Reorder the terms: 40 + 8x = (-6 + 7x) Remove parenthesis around (-6 + 7x) 40 + 8x = -6 + 7x Solving 40 + 8x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 8x + -7x = -6 + 7x + -7x Combine like terms: 8x + -7x = 1x 40 + 1x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 1x = -6 + 0 40 + 1x = -6 Add '-40' to each side of the equation. 40 + -40 + 1x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = -6 + -40 1x = -6 + -40 Combine like terms: -6 + -40 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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