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Simplifying -3(-8x + 9) + -2x = 6(x + -6) + -9 Reorder the terms: -3(9 + -8x) + -2x = 6(x + -6) + -9 (9 * -3 + -8x * -3) + -2x = 6(x + -6) + -9 (-27 + 24x) + -2x = 6(x + -6) + -9 Combine like terms: 24x + -2x = 22x -27 + 22x = 6(x + -6) + -9 Reorder the terms: -27 + 22x = 6(-6 + x) + -9 -27 + 22x = (-6 * 6 + x * 6) + -9 -27 + 22x = (-36 + 6x) + -9 Reorder the terms: -27 + 22x = -36 + -9 + 6x Combine like terms: -36 + -9 = -45 -27 + 22x = -45 + 6x Solving -27 + 22x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 22x + -6x = -45 + 6x + -6x Combine like terms: 22x + -6x = 16x -27 + 16x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 16x = -45 + 0 -27 + 16x = -45 Add '27' to each side of the equation. -27 + 27 + 16x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = -45 + 27 16x = -45 + 27 Combine like terms: -45 + 27 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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