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Simplifying 39 + -3(x + 4) + 10 = 406 Reorder the terms: 39 + -3(4 + x) + 10 = 406 39 + (4 * -3 + x * -3) + 10 = 406 39 + (-12 + -3x) + 10 = 406 Reorder the terms: 39 + -12 + 10 + -3x = 406 Combine like terms: 39 + -12 = 27 27 + 10 + -3x = 406 Combine like terms: 27 + 10 = 37 37 + -3x = 406 Solving 37 + -3x = 406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -3x = 406 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = 406 + -37 -3x = 406 + -37 Combine like terms: 406 + -37 = 369 -3x = 369 Divide each side by '-3'. x = -123 Simplifying x = -123
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