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Simplifying 5(4X + -3) + -4(3 + 2X) + 5(8X + 7) = 28 Reorder the terms: 5(-3 + 4X) + -4(3 + 2X) + 5(8X + 7) = 28 (-3 * 5 + 4X * 5) + -4(3 + 2X) + 5(8X + 7) = 28 (-15 + 20X) + -4(3 + 2X) + 5(8X + 7) = 28 -15 + 20X + (3 * -4 + 2X * -4) + 5(8X + 7) = 28 -15 + 20X + (-12 + -8X) + 5(8X + 7) = 28 Reorder the terms: -15 + 20X + -12 + -8X + 5(7 + 8X) = 28 -15 + 20X + -12 + -8X + (7 * 5 + 8X * 5) = 28 -15 + 20X + -12 + -8X + (35 + 40X) = 28 Reorder the terms: -15 + -12 + 35 + 20X + -8X + 40X = 28 Combine like terms: -15 + -12 = -27 -27 + 35 + 20X + -8X + 40X = 28 Combine like terms: -27 + 35 = 8 8 + 20X + -8X + 40X = 28 Combine like terms: 20X + -8X = 12X 8 + 12X + 40X = 28 Combine like terms: 12X + 40X = 52X 8 + 52X = 28 Solving 8 + 52X = 28 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 52X = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 52X = 28 + -8 52X = 28 + -8 Combine like terms: 28 + -8 = 20 52X = 20 Divide each side by '52'. X = 0.3846153846 Simplifying X = 0.3846153846
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