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Simplifying 4(2X) + -3(3X + -5) = 12X + -160 Remove parenthesis around (2X) 4 * 2X + -3(3X + -5) = 12X + -160 Multiply 4 * 2 8X + -3(3X + -5) = 12X + -160 Reorder the terms: 8X + -3(-5 + 3X) = 12X + -160 8X + (-5 * -3 + 3X * -3) = 12X + -160 8X + (15 + -9X) = 12X + -160 Reorder the terms: 15 + 8X + -9X = 12X + -160 Combine like terms: 8X + -9X = -1X 15 + -1X = 12X + -160 Reorder the terms: 15 + -1X = -160 + 12X Solving 15 + -1X = -160 + 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. 15 + -1X + -12X = -160 + 12X + -12X Combine like terms: -1X + -12X = -13X 15 + -13X = -160 + 12X + -12X Combine like terms: 12X + -12X = 0 15 + -13X = -160 + 0 15 + -13X = -160 Add '-15' to each side of the equation. 15 + -15 + -13X = -160 + -15 Combine like terms: 15 + -15 = 0 0 + -13X = -160 + -15 -13X = -160 + -15 Combine like terms: -160 + -15 = -175 -13X = -175 Divide each side by '-13'. X = 13.46153846 Simplifying X = 13.46153846
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