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Simplifying -6(x + 9) = -4x + -38 Reorder the terms: -6(9 + x) = -4x + -38 (9 * -6 + x * -6) = -4x + -38 (-54 + -6x) = -4x + -38 Reorder the terms: -54 + -6x = -38 + -4x Solving -54 + -6x = -38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -54 + -6x + 4x = -38 + -4x + 4x Combine like terms: -6x + 4x = -2x -54 + -2x = -38 + -4x + 4x Combine like terms: -4x + 4x = 0 -54 + -2x = -38 + 0 -54 + -2x = -38 Add '54' to each side of the equation. -54 + 54 + -2x = -38 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = -38 + 54 -2x = -38 + 54 Combine like terms: -38 + 54 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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