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Simplifying 9(3x + -7) + 6x = 26 + -14x + 12 + -6x Reorder the terms: 9(-7 + 3x) + 6x = 26 + -14x + 12 + -6x (-7 * 9 + 3x * 9) + 6x = 26 + -14x + 12 + -6x (-63 + 27x) + 6x = 26 + -14x + 12 + -6x Combine like terms: 27x + 6x = 33x -63 + 33x = 26 + -14x + 12 + -6x Reorder the terms: -63 + 33x = 26 + 12 + -14x + -6x Combine like terms: 26 + 12 = 38 -63 + 33x = 38 + -14x + -6x Combine like terms: -14x + -6x = -20x -63 + 33x = 38 + -20x Solving -63 + 33x = 38 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -63 + 33x + 20x = 38 + -20x + 20x Combine like terms: 33x + 20x = 53x -63 + 53x = 38 + -20x + 20x Combine like terms: -20x + 20x = 0 -63 + 53x = 38 + 0 -63 + 53x = 38 Add '63' to each side of the equation. -63 + 63 + 53x = 38 + 63 Combine like terms: -63 + 63 = 0 0 + 53x = 38 + 63 53x = 38 + 63 Combine like terms: 38 + 63 = 101 53x = 101 Divide each side by '53'. x = 1.905660377 Simplifying x = 1.905660377
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