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Simplifying 13x + -5(x + 2) = 4(2x + -1) + 7 Reorder the terms: 13x + -5(2 + x) = 4(2x + -1) + 7 13x + (2 * -5 + x * -5) = 4(2x + -1) + 7 13x + (-10 + -5x) = 4(2x + -1) + 7 Reorder the terms: -10 + 13x + -5x = 4(2x + -1) + 7 Combine like terms: 13x + -5x = 8x -10 + 8x = 4(2x + -1) + 7 Reorder the terms: -10 + 8x = 4(-1 + 2x) + 7 -10 + 8x = (-1 * 4 + 2x * 4) + 7 -10 + 8x = (-4 + 8x) + 7 Reorder the terms: -10 + 8x = -4 + 7 + 8x Combine like terms: -4 + 7 = 3 -10 + 8x = 3 + 8x Add '-8x' to each side of the equation. -10 + 8x + -8x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 0 = 3 + 8x + -8x -10 = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 = 3 + 0 -10 = 3 Solving -10 = 3 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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