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Simplifying 258 = 6(8 + 5x) 258 = (8 * 6 + 5x * 6) 258 = (48 + 30x) Solving 258 = 48 + 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. 258 + -30x = 48 + 30x + -30x Combine like terms: 30x + -30x = 0 258 + -30x = 48 + 0 258 + -30x = 48 Add '-258' to each side of the equation. 258 + -258 + -30x = 48 + -258 Combine like terms: 258 + -258 = 0 0 + -30x = 48 + -258 -30x = 48 + -258 Combine like terms: 48 + -258 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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