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Simplifying -6(x + -5) = 38 + -2x Reorder the terms: -6(-5 + x) = 38 + -2x (-5 * -6 + x * -6) = 38 + -2x (30 + -6x) = 38 + -2x Solving 30 + -6x = 38 + -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. 30 + -6x + 2x = 38 + -2x + 2x Combine like terms: -6x + 2x = -4x 30 + -4x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -4x = 38 + 0 30 + -4x = 38 Add '-30' to each side of the equation. 30 + -30 + -4x = 38 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 38 + -30 -4x = 38 + -30 Combine like terms: 38 + -30 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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