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Simplifying -102 = 2 + 8(x + -7) Reorder the terms: -102 = 2 + 8(-7 + x) -102 = 2 + (-7 * 8 + x * 8) -102 = 2 + (-56 + 8x) Combine like terms: 2 + -56 = -54 -102 = -54 + 8x Solving -102 = -54 + 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 = -54 + 8x + -8x Combine like terms: 8x + -8x = 0 -102 + -8x = -54 + 0 -102 + -8x = -54 Add '102' to each side of the equation. -102 + 102 + -8x = -54 + 102 Combine like terms: -102 + 102 = 0 0 + -8x = -54 + 102 -8x = -54 + 102 Combine like terms: -54 + 102 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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