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Simplifying 4(x + 3) = 6(5 + 2x) + -8x Reorder the terms: 4(3 + x) = 6(5 + 2x) + -8x (3 * 4 + x * 4) = 6(5 + 2x) + -8x (12 + 4x) = 6(5 + 2x) + -8x 12 + 4x = (5 * 6 + 2x * 6) + -8x 12 + 4x = (30 + 12x) + -8x Combine like terms: 12x + -8x = 4x 12 + 4x = 30 + 4x Add '-4x' to each side of the equation. 12 + 4x + -4x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 0 = 30 + 4x + -4x 12 = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 12 = 30 + 0 12 = 30 Solving 12 = 30 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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