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Simplifying -6x + 6(5x + 7) = -38 + 8x Reorder the terms: -6x + 6(7 + 5x) = -38 + 8x -6x + (7 * 6 + 5x * 6) = -38 + 8x -6x + (42 + 30x) = -38 + 8x Reorder the terms: 42 + -6x + 30x = -38 + 8x Combine like terms: -6x + 30x = 24x 42 + 24x = -38 + 8x Solving 42 + 24x = -38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 24x + -8x = -38 + 8x + -8x Combine like terms: 24x + -8x = 16x 42 + 16x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 16x = -38 + 0 42 + 16x = -38 Add '-42' to each side of the equation. 42 + -42 + 16x = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 16x = -38 + -42 16x = -38 + -42 Combine like terms: -38 + -42 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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