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Simplifying 5(x + -2) + x = 6(x + 3) + -4 Reorder the terms: 5(-2 + x) + x = 6(x + 3) + -4 (-2 * 5 + x * 5) + x = 6(x + 3) + -4 (-10 + 5x) + x = 6(x + 3) + -4 Combine like terms: 5x + x = 6x -10 + 6x = 6(x + 3) + -4 Reorder the terms: -10 + 6x = 6(3 + x) + -4 -10 + 6x = (3 * 6 + x * 6) + -4 -10 + 6x = (18 + 6x) + -4 Reorder the terms: -10 + 6x = 18 + -4 + 6x Combine like terms: 18 + -4 = 14 -10 + 6x = 14 + 6x Add '-6x' to each side of the equation. -10 + 6x + -6x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 0 = 14 + 6x + -6x -10 = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 = 14 + 0 -10 = 14 Solving -10 = 14 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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