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Simplifying 5(1 + -3X) + -8 = -2(6x + -5) + 5 (1 * 5 + -3X * 5) + -8 = -2(6x + -5) + 5 (5 + -15X) + -8 = -2(6x + -5) + 5 Reorder the terms: 5 + -8 + -15X = -2(6x + -5) + 5 Combine like terms: 5 + -8 = -3 -3 + -15X = -2(6x + -5) + 5 Reorder the terms: -3 + -15X = -2(-5 + 6x) + 5 -3 + -15X = (-5 * -2 + 6x * -2) + 5 -3 + -15X = (10 + -12x) + 5 Reorder the terms: -3 + -15X = 10 + 5 + -12x Combine like terms: 10 + 5 = 15 -3 + -15X = 15 + -12x Solving -3 + -15X = 15 + -12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -15X = 15 + 3 + -12x Combine like terms: -3 + 3 = 0 0 + -15X = 15 + 3 + -12x -15X = 15 + 3 + -12x Combine like terms: 15 + 3 = 18 -15X = 18 + -12x Divide each side by '-15'. X = -1.2 + 0.8x Simplifying X = -1.2 + 0.8x
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