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Simplifying 3(9x + -5) = 4(2x + 1) + -24 Reorder the terms: 3(-5 + 9x) = 4(2x + 1) + -24 (-5 * 3 + 9x * 3) = 4(2x + 1) + -24 (-15 + 27x) = 4(2x + 1) + -24 Reorder the terms: -15 + 27x = 4(1 + 2x) + -24 -15 + 27x = (1 * 4 + 2x * 4) + -24 -15 + 27x = (4 + 8x) + -24 Reorder the terms: -15 + 27x = 4 + -24 + 8x Combine like terms: 4 + -24 = -20 -15 + 27x = -20 + 8x Solving -15 + 27x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 27x + -8x = -20 + 8x + -8x Combine like terms: 27x + -8x = 19x -15 + 19x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 19x = -20 + 0 -15 + 19x = -20 Add '15' to each side of the equation. -15 + 15 + 19x = -20 + 15 Combine like terms: -15 + 15 = 0 0 + 19x = -20 + 15 19x = -20 + 15 Combine like terms: -20 + 15 = -5 19x = -5 Divide each side by '19'. x = -0.2631578947 Simplifying x = -0.2631578947
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