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Simplifying 8 + -3(4x + -5) = 3(9x + 7) + 12 Reorder the terms: 8 + -3(-5 + 4x) = 3(9x + 7) + 12 8 + (-5 * -3 + 4x * -3) = 3(9x + 7) + 12 8 + (15 + -12x) = 3(9x + 7) + 12 Combine like terms: 8 + 15 = 23 23 + -12x = 3(9x + 7) + 12 Reorder the terms: 23 + -12x = 3(7 + 9x) + 12 23 + -12x = (7 * 3 + 9x * 3) + 12 23 + -12x = (21 + 27x) + 12 Reorder the terms: 23 + -12x = 21 + 12 + 27x Combine like terms: 21 + 12 = 33 23 + -12x = 33 + 27x Solving 23 + -12x = 33 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 23 + -12x + -27x = 33 + 27x + -27x Combine like terms: -12x + -27x = -39x 23 + -39x = 33 + 27x + -27x Combine like terms: 27x + -27x = 0 23 + -39x = 33 + 0 23 + -39x = 33 Add '-23' to each side of the equation. 23 + -23 + -39x = 33 + -23 Combine like terms: 23 + -23 = 0 0 + -39x = 33 + -23 -39x = 33 + -23 Combine like terms: 33 + -23 = 10 -39x = 10 Divide each side by '-39'. x = -0.2564102564 Simplifying x = -0.2564102564
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