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Simplifying -8x + -38 = -6(x + 4) Reorder the terms: -38 + -8x = -6(x + 4) Reorder the terms: -38 + -8x = -6(4 + x) -38 + -8x = (4 * -6 + x * -6) -38 + -8x = (-24 + -6x) Solving -38 + -8x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -38 + -8x + 6x = -24 + -6x + 6x Combine like terms: -8x + 6x = -2x -38 + -2x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + -2x = -24 + 0 -38 + -2x = -24 Add '38' to each side of the equation. -38 + 38 + -2x = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -24 + 38 -2x = -24 + 38 Combine like terms: -24 + 38 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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