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Simplifying -7(1 + -5x) + 8(6 + 2x) = -61 (1 * -7 + -5x * -7) + 8(6 + 2x) = -61 (-7 + 35x) + 8(6 + 2x) = -61 -7 + 35x + (6 * 8 + 2x * 8) = -61 -7 + 35x + (48 + 16x) = -61 Reorder the terms: -7 + 48 + 35x + 16x = -61 Combine like terms: -7 + 48 = 41 41 + 35x + 16x = -61 Combine like terms: 35x + 16x = 51x 41 + 51x = -61 Solving 41 + 51x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 51x = -61 + -41 Combine like terms: 41 + -41 = 0 0 + 51x = -61 + -41 51x = -61 + -41 Combine like terms: -61 + -41 = -102 51x = -102 Divide each side by '51'. x = -2 Simplifying x = -2
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