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Simplifying 8(13x + 4) + 5(x + -3) = 12 Reorder the terms: 8(4 + 13x) + 5(x + -3) = 12 (4 * 8 + 13x * 8) + 5(x + -3) = 12 (32 + 104x) + 5(x + -3) = 12 Reorder the terms: 32 + 104x + 5(-3 + x) = 12 32 + 104x + (-3 * 5 + x * 5) = 12 32 + 104x + (-15 + 5x) = 12 Reorder the terms: 32 + -15 + 104x + 5x = 12 Combine like terms: 32 + -15 = 17 17 + 104x + 5x = 12 Combine like terms: 104x + 5x = 109x 17 + 109x = 12 Solving 17 + 109x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 109x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 109x = 12 + -17 109x = 12 + -17 Combine like terms: 12 + -17 = -5 109x = -5 Divide each side by '109'. x = -0.04587155963 Simplifying x = -0.04587155963
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