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Simplifying 100 + -6x = 30x + 24 Reorder the terms: 100 + -6x = 24 + 30x Solving 100 + -6x = 24 + 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. 100 + -6x + -30x = 24 + 30x + -30x Combine like terms: -6x + -30x = -36x 100 + -36x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 100 + -36x = 24 + 0 100 + -36x = 24 Add '-100' to each side of the equation. 100 + -100 + -36x = 24 + -100 Combine like terms: 100 + -100 = 0 0 + -36x = 24 + -100 -36x = 24 + -100 Combine like terms: 24 + -100 = -76 -36x = -76 Divide each side by '-36'. x = 2.111111111 Simplifying x = 2.111111111
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