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Simplifying 6x + -10 = 3x + 5 + 3(x + -9) Reorder the terms: -10 + 6x = 3x + 5 + 3(x + -9) Reorder the terms: -10 + 6x = 3x + 5 + 3(-9 + x) -10 + 6x = 3x + 5 + (-9 * 3 + x * 3) -10 + 6x = 3x + 5 + (-27 + 3x) Reorder the terms: -10 + 6x = 5 + -27 + 3x + 3x Combine like terms: 5 + -27 = -22 -10 + 6x = -22 + 3x + 3x Combine like terms: 3x + 3x = 6x -10 + 6x = -22 + 6x Add '-6x' to each side of the equation. -10 + 6x + -6x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 0 = -22 + 6x + -6x -10 = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 = -22 + 0 -10 = -22 Solving -10 = -22 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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