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Simplifying -3(-6 + 3x) + 7(x + -7) = -39 (-6 * -3 + 3x * -3) + 7(x + -7) = -39 (18 + -9x) + 7(x + -7) = -39 Reorder the terms: 18 + -9x + 7(-7 + x) = -39 18 + -9x + (-7 * 7 + x * 7) = -39 18 + -9x + (-49 + 7x) = -39 Reorder the terms: 18 + -49 + -9x + 7x = -39 Combine like terms: 18 + -49 = -31 -31 + -9x + 7x = -39 Combine like terms: -9x + 7x = -2x -31 + -2x = -39 Solving -31 + -2x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = -39 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = -39 + 31 -2x = -39 + 31 Combine like terms: -39 + 31 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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