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Simplifying -121 = x + 8(5 + -3x) -121 = x + (5 * 8 + -3x * 8) -121 = x + (40 + -24x) Reorder the terms: -121 = 40 + x + -24x Combine like terms: x + -24x = -23x -121 = 40 + -23x Solving -121 = 40 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -121 + 23x = 40 + -23x + 23x Combine like terms: -23x + 23x = 0 -121 + 23x = 40 + 0 -121 + 23x = 40 Add '121' to each side of the equation. -121 + 121 + 23x = 40 + 121 Combine like terms: -121 + 121 = 0 0 + 23x = 40 + 121 23x = 40 + 121 Combine like terms: 40 + 121 = 161 23x = 161 Divide each side by '23'. x = 7 Simplifying x = 7
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