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Simplifying -6x + -38 = -2(x + 3) Reorder the terms: -38 + -6x = -2(x + 3) Reorder the terms: -38 + -6x = -2(3 + x) -38 + -6x = (3 * -2 + x * -2) -38 + -6x = (-6 + -2x) Solving -38 + -6x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + -6x + 2x = -6 + -2x + 2x Combine like terms: -6x + 2x = -4x -38 + -4x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + -4x = -6 + 0 -38 + -4x = -6 Add '38' to each side of the equation. -38 + 38 + -4x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = -6 + 38 -4x = -6 + 38 Combine like terms: -6 + 38 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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