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Simplifying -3x + -7(x + 6) = 38 Reorder the terms: -3x + -7(6 + x) = 38 -3x + (6 * -7 + x * -7) = 38 -3x + (-42 + -7x) = 38 Reorder the terms: -42 + -3x + -7x = 38 Combine like terms: -3x + -7x = -10x -42 + -10x = 38 Solving -42 + -10x = 38 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 + -10x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = 38 + 42 -10x = 38 + 42 Combine like terms: 38 + 42 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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