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Simplifying 3x + -6(6x + 15) = 174 Reorder the terms: 3x + -6(15 + 6x) = 174 3x + (15 * -6 + 6x * -6) = 174 3x + (-90 + -36x) = 174 Reorder the terms: -90 + 3x + -36x = 174 Combine like terms: 3x + -36x = -33x -90 + -33x = 174 Solving -90 + -33x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -33x = 174 + 90 Combine like terms: -90 + 90 = 0 0 + -33x = 174 + 90 -33x = 174 + 90 Combine like terms: 174 + 90 = 264 -33x = 264 Divide each side by '-33'. x = -8 Simplifying x = -8
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