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Simplifying 4(x + 6) = 10x + -2(3x + -7) Reorder the terms: 4(6 + x) = 10x + -2(3x + -7) (6 * 4 + x * 4) = 10x + -2(3x + -7) (24 + 4x) = 10x + -2(3x + -7) Reorder the terms: 24 + 4x = 10x + -2(-7 + 3x) 24 + 4x = 10x + (-7 * -2 + 3x * -2) 24 + 4x = 10x + (14 + -6x) Reorder the terms: 24 + 4x = 14 + 10x + -6x Combine like terms: 10x + -6x = 4x 24 + 4x = 14 + 4x Add '-4x' to each side of the equation. 24 + 4x + -4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 0 = 14 + 4x + -4x 24 = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 24 = 14 + 0 24 = 14 Solving 24 = 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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