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Simplifying 100 + -4x = 14x + 24 Reorder the terms: 100 + -4x = 24 + 14x Solving 100 + -4x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 100 + -4x + -14x = 24 + 14x + -14x Combine like terms: -4x + -14x = -18x 100 + -18x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 100 + -18x = 24 + 0 100 + -18x = 24 Add '-100' to each side of the equation. 100 + -100 + -18x = 24 + -100 Combine like terms: 100 + -100 = 0 0 + -18x = 24 + -100 -18x = 24 + -100 Combine like terms: 24 + -100 = -76 -18x = -76 Divide each side by '-18'. x = 4.222222222 Simplifying x = 4.222222222
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