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Simplifying 6x + 3(4x + -14) = 174 Reorder the terms: 6x + 3(-14 + 4x) = 174 6x + (-14 * 3 + 4x * 3) = 174 6x + (-42 + 12x) = 174 Reorder the terms: -42 + 6x + 12x = 174 Combine like terms: 6x + 12x = 18x -42 + 18x = 174 Solving -42 + 18x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 18x = 174 + 42 Combine like terms: -42 + 42 = 0 0 + 18x = 174 + 42 18x = 174 + 42 Combine like terms: 174 + 42 = 216 18x = 216 Divide each side by '18'. x = 12 Simplifying x = 12
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