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Simplifying 2(x + -3) + 5(x + -2) = 3(2x + -1) + -1(3 + -1x) Reorder the terms: 2(-3 + x) + 5(x + -2) = 3(2x + -1) + -1(3 + -1x) (-3 * 2 + x * 2) + 5(x + -2) = 3(2x + -1) + -1(3 + -1x) (-6 + 2x) + 5(x + -2) = 3(2x + -1) + -1(3 + -1x) Reorder the terms: -6 + 2x + 5(-2 + x) = 3(2x + -1) + -1(3 + -1x) -6 + 2x + (-2 * 5 + x * 5) = 3(2x + -1) + -1(3 + -1x) -6 + 2x + (-10 + 5x) = 3(2x + -1) + -1(3 + -1x) Reorder the terms: -6 + -10 + 2x + 5x = 3(2x + -1) + -1(3 + -1x) Combine like terms: -6 + -10 = -16 -16 + 2x + 5x = 3(2x + -1) + -1(3 + -1x) Combine like terms: 2x + 5x = 7x -16 + 7x = 3(2x + -1) + -1(3 + -1x) Reorder the terms: -16 + 7x = 3(-1 + 2x) + -1(3 + -1x) -16 + 7x = (-1 * 3 + 2x * 3) + -1(3 + -1x) -16 + 7x = (-3 + 6x) + -1(3 + -1x) -16 + 7x = -3 + 6x + (3 * -1 + -1x * -1) -16 + 7x = -3 + 6x + (-3 + 1x) Reorder the terms: -16 + 7x = -3 + -3 + 6x + 1x Combine like terms: -3 + -3 = -6 -16 + 7x = -6 + 6x + 1x Combine like terms: 6x + 1x = 7x -16 + 7x = -6 + 7x Add '-7x' to each side of the equation. -16 + 7x + -7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 0 = -6 + 7x + -7x -16 = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 = -6 + 0 -16 = -6 Solving -16 = -6 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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