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Simplifying 3(-8x + -2) + 3x = 39 + -6x Reorder the terms: 3(-2 + -8x) + 3x = 39 + -6x (-2 * 3 + -8x * 3) + 3x = 39 + -6x (-6 + -24x) + 3x = 39 + -6x Combine like terms: -24x + 3x = -21x -6 + -21x = 39 + -6x Solving -6 + -21x = 39 + -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. -6 + -21x + 6x = 39 + -6x + 6x Combine like terms: -21x + 6x = -15x -6 + -15x = 39 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + -15x = 39 + 0 -6 + -15x = 39 Add '6' to each side of the equation. -6 + 6 + -15x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 39 + 6 -15x = 39 + 6 Combine like terms: 39 + 6 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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