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Simplifying -6(x + 7) = 2x + 38 Reorder the terms: -6(7 + x) = 2x + 38 (7 * -6 + x * -6) = 2x + 38 (-42 + -6x) = 2x + 38 Reorder the terms: -42 + -6x = 38 + 2x Solving -42 + -6x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + -6x + -2x = 38 + 2x + -2x Combine like terms: -6x + -2x = -8x -42 + -8x = 38 + 2x + -2x Combine like terms: 2x + -2x = 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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