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Simplifying -5x + -6(3x + -1) = 38 + -7x Reorder the terms: -5x + -6(-1 + 3x) = 38 + -7x -5x + (-1 * -6 + 3x * -6) = 38 + -7x -5x + (6 + -18x) = 38 + -7x Reorder the terms: 6 + -5x + -18x = 38 + -7x Combine like terms: -5x + -18x = -23x 6 + -23x = 38 + -7x Solving 6 + -23x = 38 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + -23x + 7x = 38 + -7x + 7x Combine like terms: -23x + 7x = -16x 6 + -16x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -16x = 38 + 0 6 + -16x = 38 Add '-6' to each side of the equation. 6 + -6 + -16x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 38 + -6 -16x = 38 + -6 Combine like terms: 38 + -6 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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