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Simplifying (2X + -4) * 5 = (4X + 1) * 8 Reorder the terms: (-4 + 2X) * 5 = (4X + 1) * 8 Reorder the terms for easier multiplication: 5(-4 + 2X) = (4X + 1) * 8 (-4 * 5 + 2X * 5) = (4X + 1) * 8 (-20 + 10X) = (4X + 1) * 8 Reorder the terms: -20 + 10X = (1 + 4X) * 8 Reorder the terms for easier multiplication: -20 + 10X = 8(1 + 4X) -20 + 10X = (1 * 8 + 4X * 8) -20 + 10X = (8 + 32X) Solving -20 + 10X = 8 + 32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-32X' to each side of the equation. -20 + 10X + -32X = 8 + 32X + -32X Combine like terms: 10X + -32X = -22X -20 + -22X = 8 + 32X + -32X Combine like terms: 32X + -32X = 0 -20 + -22X = 8 + 0 -20 + -22X = 8 Add '20' to each side of the equation. -20 + 20 + -22X = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -22X = 8 + 20 -22X = 8 + 20 Combine like terms: 8 + 20 = 28 -22X = 28 Divide each side by '-22'. X = -1.272727273 Simplifying X = -1.272727273
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