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Simplifying 4x + 105 = 3.5(70 + x) Reorder the terms: 105 + 4x = 3.5(70 + x) 105 + 4x = (70 * 3.5 + x * 3.5) 105 + 4x = (245 + 3.5x) Solving 105 + 4x = 245 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 105 + 4x + -3.5x = 245 + 3.5x + -3.5x Combine like terms: 4x + -3.5x = 0.5x 105 + 0.5x = 245 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 105 + 0.5x = 245 + 0.0 105 + 0.5x = 245 Add '-105' to each side of the equation. 105 + -105 + 0.5x = 245 + -105 Combine like terms: 105 + -105 = 0 0 + 0.5x = 245 + -105 0.5x = 245 + -105 Combine like terms: 245 + -105 = 140 0.5x = 140 Divide each side by '0.5'. x = 280 Simplifying x = 280
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