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Simplifying 2x + -3(2x + -9) = 6(3x + -8) + 8x Reorder the terms: 2x + -3(-9 + 2x) = 6(3x + -8) + 8x 2x + (-9 * -3 + 2x * -3) = 6(3x + -8) + 8x 2x + (27 + -6x) = 6(3x + -8) + 8x Reorder the terms: 27 + 2x + -6x = 6(3x + -8) + 8x Combine like terms: 2x + -6x = -4x 27 + -4x = 6(3x + -8) + 8x Reorder the terms: 27 + -4x = 6(-8 + 3x) + 8x 27 + -4x = (-8 * 6 + 3x * 6) + 8x 27 + -4x = (-48 + 18x) + 8x Combine like terms: 18x + 8x = 26x 27 + -4x = -48 + 26x Solving 27 + -4x = -48 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 27 + -4x + -26x = -48 + 26x + -26x Combine like terms: -4x + -26x = -30x 27 + -30x = -48 + 26x + -26x Combine like terms: 26x + -26x = 0 27 + -30x = -48 + 0 27 + -30x = -48 Add '-27' to each side of the equation. 27 + -27 + -30x = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -30x = -48 + -27 -30x = -48 + -27 Combine like terms: -48 + -27 = -75 -30x = -75 Divide each side by '-30'. x = 2.5 Simplifying x = 2.5
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