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Simplifying 175 = -5[1 + -6x] 175 = [1 * -5 + -6x * -5] 175 = [-5 + 30x] Solving 175 = -5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 175 + -30x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 175 + -30x = -5 + 0 175 + -30x = -5 Add '-175' to each side of the equation. 175 + -175 + -30x = -5 + -175 Combine like terms: 175 + -175 = 0 0 + -30x = -5 + -175 -30x = -5 + -175 Combine like terms: -5 + -175 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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