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Simplifying 4(x + -3) = 10x + -6(x + -7) Reorder the terms: 4(-3 + x) = 10x + -6(x + -7) (-3 * 4 + x * 4) = 10x + -6(x + -7) (-12 + 4x) = 10x + -6(x + -7) Reorder the terms: -12 + 4x = 10x + -6(-7 + x) -12 + 4x = 10x + (-7 * -6 + x * -6) -12 + 4x = 10x + (42 + -6x) Reorder the terms: -12 + 4x = 42 + 10x + -6x Combine like terms: 10x + -6x = 4x -12 + 4x = 42 + 4x Add '-4x' to each side of the equation. -12 + 4x + -4x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 0 = 42 + 4x + -4x -12 = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 = 42 + 0 -12 = 42 Solving -12 = 42 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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