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Simplifying 2(x + -5) + 5x = 7(x + 3) Reorder the terms: 2(-5 + x) + 5x = 7(x + 3) (-5 * 2 + x * 2) + 5x = 7(x + 3) (-10 + 2x) + 5x = 7(x + 3) Combine like terms: 2x + 5x = 7x -10 + 7x = 7(x + 3) Reorder the terms: -10 + 7x = 7(3 + x) -10 + 7x = (3 * 7 + x * 7) -10 + 7x = (21 + 7x) Add '-7x' to each side of the equation. -10 + 7x + -7x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 0 = 21 + 7x + -7x -10 = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 = 21 + 0 -10 = 21 Solving -10 = 21 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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