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Simplifying 100 + 55x = 150 + 51x Solving 100 + 55x = 150 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 100 + 55x + -51x = 150 + 51x + -51x Combine like terms: 55x + -51x = 4x 100 + 4x = 150 + 51x + -51x Combine like terms: 51x + -51x = 0 100 + 4x = 150 + 0 100 + 4x = 150 Add '-100' to each side of the equation. 100 + -100 + 4x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 4x = 150 + -100 4x = 150 + -100 Combine like terms: 150 + -100 = 50 4x = 50 Divide each side by '4'. x = 12.5 Simplifying x = 12.5
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