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Simplifying 6x + -1(4x + 6) = 3x + -27 Reorder the terms: 6x + -1(6 + 4x) = 3x + -27 6x + (6 * -1 + 4x * -1) = 3x + -27 6x + (-6 + -4x) = 3x + -27 Reorder the terms: -6 + 6x + -4x = 3x + -27 Combine like terms: 6x + -4x = 2x -6 + 2x = 3x + -27 Reorder the terms: -6 + 2x = -27 + 3x Solving -6 + 2x = -27 + 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. -6 + 2x + -3x = -27 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -27 + 0 -6 + -1x = -27 Add '6' to each side of the equation. -6 + 6 + -1x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -27 + 6 -1x = -27 + 6 Combine like terms: -27 + 6 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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