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