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Simplifying -102 = 8 + -5(6x + -8) Reorder the terms: -102 = 8 + -5(-8 + 6x) -102 = 8 + (-8 * -5 + 6x * -5) -102 = 8 + (40 + -30x) Combine like terms: 8 + 40 = 48 -102 = 48 + -30x Solving -102 = 48 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -102 + 30x = 48 + -30x + 30x Combine like terms: -30x + 30x = 0 -102 + 30x = 48 + 0 -102 + 30x = 48 Add '102' to each side of the equation. -102 + 102 + 30x = 48 + 102 Combine like terms: -102 + 102 = 0 0 + 30x = 48 + 102 30x = 48 + 102 Combine like terms: 48 + 102 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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