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Simplifying -6x + -1(-4x + -6) = 27 + x Reorder the terms: -6x + -1(-6 + -4x) = 27 + x -6x + (-6 * -1 + -4x * -1) = 27 + x -6x + (6 + 4x) = 27 + x Reorder the terms: 6 + -6x + 4x = 27 + x Combine like terms: -6x + 4x = -2x 6 + -2x = 27 + x Solving 6 + -2x = 27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -2x + -1x = 27 + x + -1x Combine like terms: -2x + -1x = -3x 6 + -3x = 27 + x + -1x Combine like terms: x + -1x = 0 6 + -3x = 27 + 0 6 + -3x = 27 Add '-6' to each side of the equation. 6 + -6 + -3x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 27 + -6 -3x = 27 + -6 Combine like terms: 27 + -6 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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