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Simplifying -6(x + -4) = -4x + 38 Reorder the terms: -6(-4 + x) = -4x + 38 (-4 * -6 + x * -6) = -4x + 38 (24 + -6x) = -4x + 38 Reorder the terms: 24 + -6x = 38 + -4x Solving 24 + -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. 24 + -6x + 4x = 38 + -4x + 4x Combine like terms: -6x + 4x = -2x 24 + -2x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + -2x = 38 + 0 24 + -2x = 38 Add '-24' to each side of the equation. 24 + -24 + -2x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 38 + -24 -2x = 38 + -24 Combine like terms: 38 + -24 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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