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Simplifying 258 = -6(5 + -6x) 258 = (5 * -6 + -6x * -6) 258 = (-30 + 36x) Solving 258 = -30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 258 + -36x = -30 + 36x + -36x Combine like terms: 36x + -36x = 0 258 + -36x = -30 + 0 258 + -36x = -30 Add '-258' to each side of the equation. 258 + -258 + -36x = -30 + -258 Combine like terms: 258 + -258 = 0 0 + -36x = -30 + -258 -36x = -30 + -258 Combine like terms: -30 + -258 = -288 -36x = -288 Divide each side by '-36'. x = 8 Simplifying x = 8
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