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Simplifying 8(x + -13) = 6(x + 11) Reorder the terms: 8(-13 + x) = 6(x + 11) (-13 * 8 + x * 8) = 6(x + 11) (-104 + 8x) = 6(x + 11) Reorder the terms: -104 + 8x = 6(11 + x) -104 + 8x = (11 * 6 + x * 6) -104 + 8x = (66 + 6x) Solving -104 + 8x = 66 + 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. -104 + 8x + -6x = 66 + 6x + -6x Combine like terms: 8x + -6x = 2x -104 + 2x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 -104 + 2x = 66 + 0 -104 + 2x = 66 Add '104' to each side of the equation. -104 + 104 + 2x = 66 + 104 Combine like terms: -104 + 104 = 0 0 + 2x = 66 + 104 2x = 66 + 104 Combine like terms: 66 + 104 = 170 2x = 170 Divide each side by '2'. x = 85 Simplifying x = 85
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