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Simplifying 3(4x + -2) = x + 27 Reorder the terms: 3(-2 + 4x) = x + 27 (-2 * 3 + 4x * 3) = x + 27 (-6 + 12x) = x + 27 Reorder the terms: -6 + 12x = 27 + x Solving -6 + 12x = 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 + 12x + -1x = 27 + x + -1x Combine like terms: 12x + -1x = 11x -6 + 11x = 27 + x + -1x Combine like terms: x + -1x = 0 -6 + 11x = 27 + 0 -6 + 11x = 27 Add '6' to each side of the equation. -6 + 6 + 11x = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 27 + 6 11x = 27 + 6 Combine like terms: 27 + 6 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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