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Simplifying 7(4X + 15) + -6(8X + 4) = 1 Reorder the terms: 7(15 + 4X) + -6(8X + 4) = 1 (15 * 7 + 4X * 7) + -6(8X + 4) = 1 (105 + 28X) + -6(8X + 4) = 1 Reorder the terms: 105 + 28X + -6(4 + 8X) = 1 105 + 28X + (4 * -6 + 8X * -6) = 1 105 + 28X + (-24 + -48X) = 1 Reorder the terms: 105 + -24 + 28X + -48X = 1 Combine like terms: 105 + -24 = 81 81 + 28X + -48X = 1 Combine like terms: 28X + -48X = -20X 81 + -20X = 1 Solving 81 + -20X = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -20X = 1 + -81 Combine like terms: 81 + -81 = 0 0 + -20X = 1 + -81 -20X = 1 + -81 Combine like terms: 1 + -81 = -80 -20X = -80 Divide each side by '-20'. X = 4 Simplifying X = 4
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