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