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Simplifying -38 = -7(x + 8) + 4 Reorder the terms: -38 = -7(8 + x) + 4 -38 = (8 * -7 + x * -7) + 4 -38 = (-56 + -7x) + 4 Reorder the terms: -38 = -56 + 4 + -7x Combine like terms: -56 + 4 = -52 -38 = -52 + -7x Solving -38 = -52 + -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. -38 + 7x = -52 + -7x + 7x Combine like terms: -7x + 7x = 0 -38 + 7x = -52 + 0 -38 + 7x = -52 Add '38' to each side of the equation. -38 + 38 + 7x = -52 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = -52 + 38 7x = -52 + 38 Combine like terms: -52 + 38 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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