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Simplifying -4(x + 3) + 10x = 6(x + 2) Reorder the terms: -4(3 + x) + 10x = 6(x + 2) (3 * -4 + x * -4) + 10x = 6(x + 2) (-12 + -4x) + 10x = 6(x + 2) Combine like terms: -4x + 10x = 6x -12 + 6x = 6(x + 2) Reorder the terms: -12 + 6x = 6(2 + x) -12 + 6x = (2 * 6 + x * 6) -12 + 6x = (12 + 6x) Add '-6x' to each side of the equation. -12 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = 12 + 6x + -6x -12 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 12 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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