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Simplifying 3(12x + -28) = -27(18 + 5x) Reorder the terms: 3(-28 + 12x) = -27(18 + 5x) (-28 * 3 + 12x * 3) = -27(18 + 5x) (-84 + 36x) = -27(18 + 5x) -84 + 36x = (18 * -27 + 5x * -27) -84 + 36x = (-486 + -135x) Solving -84 + 36x = -486 + -135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135x' to each side of the equation. -84 + 36x + 135x = -486 + -135x + 135x Combine like terms: 36x + 135x = 171x -84 + 171x = -486 + -135x + 135x Combine like terms: -135x + 135x = 0 -84 + 171x = -486 + 0 -84 + 171x = -486 Add '84' to each side of the equation. -84 + 84 + 171x = -486 + 84 Combine like terms: -84 + 84 = 0 0 + 171x = -486 + 84 171x = -486 + 84 Combine like terms: -486 + 84 = -402 171x = -402 Divide each side by '171'. x = -2.350877193 Simplifying x = -2.350877193
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