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Simplifying 100 + 4x = 175 + -10x Solving 100 + 4x = 175 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 100 + 4x + 10x = 175 + -10x + 10x Combine like terms: 4x + 10x = 14x 100 + 14x = 175 + -10x + 10x Combine like terms: -10x + 10x = 0 100 + 14x = 175 + 0 100 + 14x = 175 Add '-100' to each side of the equation. 100 + -100 + 14x = 175 + -100 Combine like terms: 100 + -100 = 0 0 + 14x = 175 + -100 14x = 175 + -100 Combine like terms: 175 + -100 = 75 14x = 75 Divide each side by '14'. x = 5.357142857 Simplifying x = 5.357142857
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