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Simplifying -241 = 4 + -5(1 + 8x) -241 = 4 + (1 * -5 + 8x * -5) -241 = 4 + (-5 + -40x) Combine like terms: 4 + -5 = -1 -241 = -1 + -40x Solving -241 = -1 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -241 + 40x = -1 + -40x + 40x Combine like terms: -40x + 40x = 0 -241 + 40x = -1 + 0 -241 + 40x = -1 Add '241' to each side of the equation. -241 + 241 + 40x = -1 + 241 Combine like terms: -241 + 241 = 0 0 + 40x = -1 + 241 40x = -1 + 241 Combine like terms: -1 + 241 = 240 40x = 240 Divide each side by '40'. x = 6 Simplifying x = 6
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