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Simplifying 3x + -4(x + 6) = 27 Reorder the terms: 3x + -4(6 + x) = 27 3x + (6 * -4 + x * -4) = 27 3x + (-24 + -4x) = 27 Reorder the terms: -24 + 3x + -4x = 27 Combine like terms: 3x + -4x = -1x -24 + -1x = 27 Solving -24 + -1x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 27 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 27 + 24 -1x = 27 + 24 Combine like terms: 27 + 24 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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