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Simplifying 258 + -7x = 38x + -23 Reorder the terms: 258 + -7x = -23 + 38x Solving 258 + -7x = -23 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 258 + -7x + -38x = -23 + 38x + -38x Combine like terms: -7x + -38x = -45x 258 + -45x = -23 + 38x + -38x Combine like terms: 38x + -38x = 0 258 + -45x = -23 + 0 258 + -45x = -23 Add '-258' to each side of the equation. 258 + -258 + -45x = -23 + -258 Combine like terms: 258 + -258 = 0 0 + -45x = -23 + -258 -45x = -23 + -258 Combine like terms: -23 + -258 = -281 -45x = -281 Divide each side by '-45'. x = 6.244444444 Simplifying x = 6.244444444
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