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Simplifying 6 + 4(-4 + -3x) = 38 + -6x 6 + (-4 * 4 + -3x * 4) = 38 + -6x 6 + (-16 + -12x) = 38 + -6x Combine like terms: 6 + -16 = -10 -10 + -12x = 38 + -6x Solving -10 + -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. -10 + -12x + 6x = 38 + -6x + 6x Combine like terms: -12x + 6x = -6x -10 + -6x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -6x = 38 + 0 -10 + -6x = 38 Add '10' to each side of the equation. -10 + 10 + -6x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 38 + 10 -6x = 38 + 10 Combine like terms: 38 + 10 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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