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Simplifying 2(x + -2) + 3x = 6x + 7 + -1(x + -3) Reorder the terms: 2(-2 + x) + 3x = 6x + 7 + -1(x + -3) (-2 * 2 + x * 2) + 3x = 6x + 7 + -1(x + -3) (-4 + 2x) + 3x = 6x + 7 + -1(x + -3) Combine like terms: 2x + 3x = 5x -4 + 5x = 6x + 7 + -1(x + -3) Reorder the terms: -4 + 5x = 6x + 7 + -1(-3 + x) -4 + 5x = 6x + 7 + (-3 * -1 + x * -1) -4 + 5x = 6x + 7 + (3 + -1x) Reorder the terms: -4 + 5x = 7 + 3 + 6x + -1x Combine like terms: 7 + 3 = 10 -4 + 5x = 10 + 6x + -1x Combine like terms: 6x + -1x = 5x -4 + 5x = 10 + 5x Add '-5x' to each side of the equation. -4 + 5x + -5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 0 = 10 + 5x + -5x -4 = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 = 10 + 0 -4 = 10 Solving -4 = 10 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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