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Simplifying 5(x + -5) + -51 = 7x + -2(x + 3) Reorder the terms: 5(-5 + x) + -51 = 7x + -2(x + 3) (-5 * 5 + x * 5) + -51 = 7x + -2(x + 3) (-25 + 5x) + -51 = 7x + -2(x + 3) Reorder the terms: -25 + -51 + 5x = 7x + -2(x + 3) Combine like terms: -25 + -51 = -76 -76 + 5x = 7x + -2(x + 3) Reorder the terms: -76 + 5x = 7x + -2(3 + x) -76 + 5x = 7x + (3 * -2 + x * -2) -76 + 5x = 7x + (-6 + -2x) Reorder the terms: -76 + 5x = -6 + 7x + -2x Combine like terms: 7x + -2x = 5x -76 + 5x = -6 + 5x Add '-5x' to each side of the equation. -76 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -76 + 0 = -6 + 5x + -5x -76 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -76 = -6 + 0 -76 = -6 Solving -76 = -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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