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Simplifying -7(x + -1) = -38 + 8x Reorder the terms: -7(-1 + x) = -38 + 8x (-1 * -7 + x * -7) = -38 + 8x (7 + -7x) = -38 + 8x Solving 7 + -7x = -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. 7 + -7x + -8x = -38 + 8x + -8x Combine like terms: -7x + -8x = -15x 7 + -15x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -15x = -38 + 0 7 + -15x = -38 Add '-7' to each side of the equation. 7 + -7 + -15x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = -38 + -7 -15x = -38 + -7 Combine like terms: -38 + -7 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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