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Simplifying 102 + -4x = 14x + 24 Reorder the terms: 102 + -4x = 24 + 14x Solving 102 + -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. 102 + -4x + -14x = 24 + 14x + -14x Combine like terms: -4x + -14x = -18x 102 + -18x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 102 + -18x = 24 + 0 102 + -18x = 24 Add '-102' to each side of the equation. 102 + -102 + -18x = 24 + -102 Combine like terms: 102 + -102 = 0 0 + -18x = 24 + -102 -18x = 24 + -102 Combine like terms: 24 + -102 = -78 -18x = -78 Divide each side by '-18'. x = 4.333333333 Simplifying x = 4.333333333
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