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Simplifying 3X + -2(20 + -1X) = 5X + -8(12 + -1X) + 20 3X + (20 * -2 + -1X * -2) = 5X + -8(12 + -1X) + 20 3X + (-40 + 2X) = 5X + -8(12 + -1X) + 20 Reorder the terms: -40 + 3X + 2X = 5X + -8(12 + -1X) + 20 Combine like terms: 3X + 2X = 5X -40 + 5X = 5X + -8(12 + -1X) + 20 -40 + 5X = 5X + (12 * -8 + -1X * -8) + 20 -40 + 5X = 5X + (-96 + 8X) + 20 Reorder the terms: -40 + 5X = -96 + 20 + 5X + 8X Combine like terms: -96 + 20 = -76 -40 + 5X = -76 + 5X + 8X Combine like terms: 5X + 8X = 13X -40 + 5X = -76 + 13X Solving -40 + 5X = -76 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. -40 + 5X + -13X = -76 + 13X + -13X Combine like terms: 5X + -13X = -8X -40 + -8X = -76 + 13X + -13X Combine like terms: 13X + -13X = 0 -40 + -8X = -76 + 0 -40 + -8X = -76 Add '40' to each side of the equation. -40 + 40 + -8X = -76 + 40 Combine like terms: -40 + 40 = 0 0 + -8X = -76 + 40 -8X = -76 + 40 Combine like terms: -76 + 40 = -36 -8X = -36 Divide each side by '-8'. X = 4.5 Simplifying X = 4.5
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