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Simplifying 15x + -7 = 5(3x + -2) + 11 Reorder the terms: -7 + 15x = 5(3x + -2) + 11 Reorder the terms: -7 + 15x = 5(-2 + 3x) + 11 -7 + 15x = (-2 * 5 + 3x * 5) + 11 -7 + 15x = (-10 + 15x) + 11 Reorder the terms: -7 + 15x = -10 + 11 + 15x Combine like terms: -10 + 11 = 1 -7 + 15x = 1 + 15x Add '-15x' to each side of the equation. -7 + 15x + -15x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + 0 = 1 + 15x + -15x -7 = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 = 1 + 0 -7 = 1 Solving -7 = 1 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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