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Simplifying -4(x + -2) = -6(4 + 3x) Reorder the terms: -4(-2 + x) = -6(4 + 3x) (-2 * -4 + x * -4) = -6(4 + 3x) (8 + -4x) = -6(4 + 3x) 8 + -4x = (4 * -6 + 3x * -6) 8 + -4x = (-24 + -18x) Solving 8 + -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. 8 + -4x + 18x = -24 + -18x + 18x Combine like terms: -4x + 18x = 14x 8 + 14x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 8 + 14x = -24 + 0 8 + 14x = -24 Add '-8' to each side of the equation. 8 + -8 + 14x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = -24 + -8 14x = -24 + -8 Combine like terms: -24 + -8 = -32 14x = -32 Divide each side by '14'. x = -2.285714286 Simplifying x = -2.285714286
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