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Simplifying (5 + -2X) + -1(4X + -3) = 3(5 + -2X) Remove parenthesis around (5 + -2X) 5 + -2X + -1(4X + -3) = 3(5 + -2X) Reorder the terms: 5 + -2X + -1(-3 + 4X) = 3(5 + -2X) 5 + -2X + (-3 * -1 + 4X * -1) = 3(5 + -2X) 5 + -2X + (3 + -4X) = 3(5 + -2X) Reorder the terms: 5 + 3 + -2X + -4X = 3(5 + -2X) Combine like terms: 5 + 3 = 8 8 + -2X + -4X = 3(5 + -2X) Combine like terms: -2X + -4X = -6X 8 + -6X = 3(5 + -2X) 8 + -6X = (5 * 3 + -2X * 3) 8 + -6X = (15 + -6X) Add '6X' to each side of the equation. 8 + -6X + 6X = 15 + -6X + 6X Combine like terms: -6X + 6X = 0 8 + 0 = 15 + -6X + 6X 8 = 15 + -6X + 6X Combine like terms: -6X + 6X = 0 8 = 15 + 0 8 = 15 Solving 8 = 15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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