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Simplifying -7(6 + x) = x + 38 (6 * -7 + x * -7) = x + 38 (-42 + -7x) = x + 38 Reorder the terms: -42 + -7x = 38 + x Solving -42 + -7x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + -7x + -1x = 38 + x + -1x Combine like terms: -7x + -1x = -8x -42 + -8x = 38 + x + -1x Combine like terms: x + -1x = 0 -42 + -8x = 38 + 0 -42 + -8x = 38 Add '42' to each side of the equation. -42 + 42 + -8x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = 38 + 42 -8x = 38 + 42 Combine like terms: 38 + 42 = 80 -8x = 80 Divide each side by '-8'. x = -10 Simplifying x = -10
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