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Simplifying 6(5x + -6) + 8 = 3(9 + -1x) + -27 Reorder the terms: 6(-6 + 5x) + 8 = 3(9 + -1x) + -27 (-6 * 6 + 5x * 6) + 8 = 3(9 + -1x) + -27 (-36 + 30x) + 8 = 3(9 + -1x) + -27 Reorder the terms: -36 + 8 + 30x = 3(9 + -1x) + -27 Combine like terms: -36 + 8 = -28 -28 + 30x = 3(9 + -1x) + -27 -28 + 30x = (9 * 3 + -1x * 3) + -27 -28 + 30x = (27 + -3x) + -27 Reorder the terms: -28 + 30x = 27 + -27 + -3x Combine like terms: 27 + -27 = 0 -28 + 30x = 0 + -3x -28 + 30x = -3x Solving -28 + 30x = -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. -28 + 30x + 3x = -3x + 3x Combine like terms: 30x + 3x = 33x -28 + 33x = -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 33x = 0 Add '28' to each side of the equation. -28 + 28 + 33x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 33x = 0 + 28 33x = 0 + 28 Combine like terms: 0 + 28 = 28 33x = 28 Divide each side by '33'. x = 0.8484848485 Simplifying x = 0.8484848485
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