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Simplifying 4x + 7(5x + -14) = 175 Reorder the terms: 4x + 7(-14 + 5x) = 175 4x + (-14 * 7 + 5x * 7) = 175 4x + (-98 + 35x) = 175 Reorder the terms: -98 + 4x + 35x = 175 Combine like terms: 4x + 35x = 39x -98 + 39x = 175 Solving -98 + 39x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 39x = 175 + 98 Combine like terms: -98 + 98 = 0 0 + 39x = 175 + 98 39x = 175 + 98 Combine like terms: 175 + 98 = 273 39x = 273 Divide each side by '39'. x = 7 Simplifying x = 7
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