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Simplifying -141 = -6 + 5(1 + 7x) -141 = -6 + (1 * 5 + 7x * 5) -141 = -6 + (5 + 35x) Combine like terms: -6 + 5 = -1 -141 = -1 + 35x Solving -141 = -1 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -141 + -35x = -1 + 35x + -35x Combine like terms: 35x + -35x = 0 -141 + -35x = -1 + 0 -141 + -35x = -1 Add '141' to each side of the equation. -141 + 141 + -35x = -1 + 141 Combine like terms: -141 + 141 = 0 0 + -35x = -1 + 141 -35x = -1 + 141 Combine like terms: -1 + 141 = 140 -35x = 140 Divide each side by '-35'. x = -4 Simplifying x = -4
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