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Simplifying 6(x + -3) + 10 = 2(3x + -5) Reorder the terms: 6(-3 + x) + 10 = 2(3x + -5) (-3 * 6 + x * 6) + 10 = 2(3x + -5) (-18 + 6x) + 10 = 2(3x + -5) Reorder the terms: -18 + 10 + 6x = 2(3x + -5) Combine like terms: -18 + 10 = -8 -8 + 6x = 2(3x + -5) Reorder the terms: -8 + 6x = 2(-5 + 3x) -8 + 6x = (-5 * 2 + 3x * 2) -8 + 6x = (-10 + 6x) Add '-6x' to each side of the equation. -8 + 6x + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 0 = -10 + 6x + -6x -8 = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 = -10 + 0 -8 = -10 Solving -8 = -10 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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