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Simplifying 3 + 8(6 + -1x) = -2(x + -5) 3 + (6 * 8 + -1x * 8) = -2(x + -5) 3 + (48 + -8x) = -2(x + -5) Combine like terms: 3 + 48 = 51 51 + -8x = -2(x + -5) Reorder the terms: 51 + -8x = -2(-5 + x) 51 + -8x = (-5 * -2 + x * -2) 51 + -8x = (10 + -2x) Solving 51 + -8x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 51 + -8x + 2x = 10 + -2x + 2x Combine like terms: -8x + 2x = -6x 51 + -6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 51 + -6x = 10 + 0 51 + -6x = 10 Add '-51' to each side of the equation. 51 + -51 + -6x = 10 + -51 Combine like terms: 51 + -51 = 0 0 + -6x = 10 + -51 -6x = 10 + -51 Combine like terms: 10 + -51 = -41 -6x = -41 Divide each side by '-6'. x = 6.833333333 Simplifying x = 6.833333333
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