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Simplifying 8(2X + -5) = 4(1 + 3X) Reorder the terms: 8(-5 + 2X) = 4(1 + 3X) (-5 * 8 + 2X * 8) = 4(1 + 3X) (-40 + 16X) = 4(1 + 3X) -40 + 16X = (1 * 4 + 3X * 4) -40 + 16X = (4 + 12X) Solving -40 + 16X = 4 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -40 + 16X + -12X = 4 + 12X + -12X Combine like terms: 16X + -12X = 4X -40 + 4X = 4 + 12X + -12X Combine like terms: 12X + -12X = 0 -40 + 4X = 4 + 0 -40 + 4X = 4 Add '40' to each side of the equation. -40 + 40 + 4X = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 4X = 4 + 40 4X = 4 + 40 Combine like terms: 4 + 40 = 44 4X = 44 Divide each side by '4'. X = 11 Simplifying X = 11
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