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Simplifying -4(x + -8) = -6(4 + 3x) Reorder the terms: -4(-8 + x) = -6(4 + 3x) (-8 * -4 + x * -4) = -6(4 + 3x) (32 + -4x) = -6(4 + 3x) 32 + -4x = (4 * -6 + 3x * -6) 32 + -4x = (-24 + -18x) Solving 32 + -4x = -24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 32 + -4x + 18x = -24 + -18x + 18x Combine like terms: -4x + 18x = 14x 32 + 14x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 32 + 14x = -24 + 0 32 + 14x = -24 Add '-32' to each side of the equation. 32 + -32 + 14x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 14x = -24 + -32 14x = -24 + -32 Combine like terms: -24 + -32 = -56 14x = -56 Divide each side by '14'. x = -4 Simplifying x = -4
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