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Simplifying 4x + -3(3x + -8) = 6(3x + -9) + 8x Reorder the terms: 4x + -3(-8 + 3x) = 6(3x + -9) + 8x 4x + (-8 * -3 + 3x * -3) = 6(3x + -9) + 8x 4x + (24 + -9x) = 6(3x + -9) + 8x Reorder the terms: 24 + 4x + -9x = 6(3x + -9) + 8x Combine like terms: 4x + -9x = -5x 24 + -5x = 6(3x + -9) + 8x Reorder the terms: 24 + -5x = 6(-9 + 3x) + 8x 24 + -5x = (-9 * 6 + 3x * 6) + 8x 24 + -5x = (-54 + 18x) + 8x Combine like terms: 18x + 8x = 26x 24 + -5x = -54 + 26x Solving 24 + -5x = -54 + 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. 24 + -5x + -26x = -54 + 26x + -26x Combine like terms: -5x + -26x = -31x 24 + -31x = -54 + 26x + -26x Combine like terms: 26x + -26x = 0 24 + -31x = -54 + 0 24 + -31x = -54 Add '-24' to each side of the equation. 24 + -24 + -31x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -31x = -54 + -24 -31x = -54 + -24 Combine like terms: -54 + -24 = -78 -31x = -78 Divide each side by '-31'. x = 2.516129032 Simplifying x = 2.516129032
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