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Simplifying 5(4 + -3X) + -3(2X + -1) = 7(2 + -3X) + 5 (4 * 5 + -3X * 5) + -3(2X + -1) = 7(2 + -3X) + 5 (20 + -15X) + -3(2X + -1) = 7(2 + -3X) + 5 Reorder the terms: 20 + -15X + -3(-1 + 2X) = 7(2 + -3X) + 5 20 + -15X + (-1 * -3 + 2X * -3) = 7(2 + -3X) + 5 20 + -15X + (3 + -6X) = 7(2 + -3X) + 5 Reorder the terms: 20 + 3 + -15X + -6X = 7(2 + -3X) + 5 Combine like terms: 20 + 3 = 23 23 + -15X + -6X = 7(2 + -3X) + 5 Combine like terms: -15X + -6X = -21X 23 + -21X = 7(2 + -3X) + 5 23 + -21X = (2 * 7 + -3X * 7) + 5 23 + -21X = (14 + -21X) + 5 Reorder the terms: 23 + -21X = 14 + 5 + -21X Combine like terms: 14 + 5 = 19 23 + -21X = 19 + -21X Add '21X' to each side of the equation. 23 + -21X + 21X = 19 + -21X + 21X Combine like terms: -21X + 21X = 0 23 + 0 = 19 + -21X + 21X 23 = 19 + -21X + 21X Combine like terms: -21X + 21X = 0 23 = 19 + 0 23 = 19 Solving 23 = 19 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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