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Simplifying -4x + 2(5x + -6) = -3x + -39 Reorder the terms: -4x + 2(-6 + 5x) = -3x + -39 -4x + (-6 * 2 + 5x * 2) = -3x + -39 -4x + (-12 + 10x) = -3x + -39 Reorder the terms: -12 + -4x + 10x = -3x + -39 Combine like terms: -4x + 10x = 6x -12 + 6x = -3x + -39 Reorder the terms: -12 + 6x = -39 + -3x Solving -12 + 6x = -39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 6x + 3x = -39 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = -39 + 0 -12 + 9x = -39 Add '12' to each side of the equation. -12 + 12 + 9x = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -39 + 12 9x = -39 + 12 Combine like terms: -39 + 12 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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