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