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Simplifying 4 + -3(6 + -4x) = -38 + 6x 4 + (6 * -3 + -4x * -3) = -38 + 6x 4 + (-18 + 12x) = -38 + 6x Combine like terms: 4 + -18 = -14 -14 + 12x = -38 + 6x Solving -14 + 12x = -38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 12x + -6x = -38 + 6x + -6x Combine like terms: 12x + -6x = 6x -14 + 6x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 6x = -38 + 0 -14 + 6x = -38 Add '14' to each side of the equation. -14 + 14 + 6x = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -38 + 14 6x = -38 + 14 Combine like terms: -38 + 14 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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