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Simplifying -102 = 2 + -8(x + 5) Reorder the terms: -102 = 2 + -8(5 + x) -102 = 2 + (5 * -8 + x * -8) -102 = 2 + (-40 + -8x) Combine like terms: 2 + -40 = -38 -102 = -38 + -8x Solving -102 = -38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -102 + 8x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 -102 + 8x = -38 + 0 -102 + 8x = -38 Add '102' to each side of the equation. -102 + 102 + 8x = -38 + 102 Combine like terms: -102 + 102 = 0 0 + 8x = -38 + 102 8x = -38 + 102 Combine like terms: -38 + 102 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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