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Simplifying 258 = 6x + -5(-1x + -34) Reorder the terms: 258 = 6x + -5(-34 + -1x) 258 = 6x + (-34 * -5 + -1x * -5) 258 = 6x + (170 + 5x) Reorder the terms: 258 = 170 + 6x + 5x Combine like terms: 6x + 5x = 11x 258 = 170 + 11x Solving 258 = 170 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 258 + -11x = 170 + 11x + -11x Combine like terms: 11x + -11x = 0 258 + -11x = 170 + 0 258 + -11x = 170 Add '-258' to each side of the equation. 258 + -258 + -11x = 170 + -258 Combine like terms: 258 + -258 = 0 0 + -11x = 170 + -258 -11x = 170 + -258 Combine like terms: 170 + -258 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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