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Simplifying 4(X + 6) + 10 = 8X + -4(X + -3) Reorder the terms: 4(6 + X) + 10 = 8X + -4(X + -3) (6 * 4 + X * 4) + 10 = 8X + -4(X + -3) (24 + 4X) + 10 = 8X + -4(X + -3) Reorder the terms: 24 + 10 + 4X = 8X + -4(X + -3) Combine like terms: 24 + 10 = 34 34 + 4X = 8X + -4(X + -3) Reorder the terms: 34 + 4X = 8X + -4(-3 + X) 34 + 4X = 8X + (-3 * -4 + X * -4) 34 + 4X = 8X + (12 + -4X) Reorder the terms: 34 + 4X = 12 + 8X + -4X Combine like terms: 8X + -4X = 4X 34 + 4X = 12 + 4X Add '-4X' to each side of the equation. 34 + 4X + -4X = 12 + 4X + -4X Combine like terms: 4X + -4X = 0 34 + 0 = 12 + 4X + -4X 34 = 12 + 4X + -4X Combine like terms: 4X + -4X = 0 34 = 12 + 0 34 = 12 Solving 34 = 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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