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Simplifying 5(4X + 7) + 6(2 + -3X) = 5 Reorder the terms: 5(7 + 4X) + 6(2 + -3X) = 5 (7 * 5 + 4X * 5) + 6(2 + -3X) = 5 (35 + 20X) + 6(2 + -3X) = 5 35 + 20X + (2 * 6 + -3X * 6) = 5 35 + 20X + (12 + -18X) = 5 Reorder the terms: 35 + 12 + 20X + -18X = 5 Combine like terms: 35 + 12 = 47 47 + 20X + -18X = 5 Combine like terms: 20X + -18X = 2X 47 + 2X = 5 Solving 47 + 2X = 5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 2X = 5 + -47 Combine like terms: 47 + -47 = 0 0 + 2X = 5 + -47 2X = 5 + -47 Combine like terms: 5 + -47 = -42 2X = -42 Divide each side by '2'. X = -21 Simplifying X = -21
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