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Simplifying 12(x + 4) + -4x = 2(4x + 2) + -12 Reorder the terms: 12(4 + x) + -4x = 2(4x + 2) + -12 (4 * 12 + x * 12) + -4x = 2(4x + 2) + -12 (48 + 12x) + -4x = 2(4x + 2) + -12 Combine like terms: 12x + -4x = 8x 48 + 8x = 2(4x + 2) + -12 Reorder the terms: 48 + 8x = 2(2 + 4x) + -12 48 + 8x = (2 * 2 + 4x * 2) + -12 48 + 8x = (4 + 8x) + -12 Reorder the terms: 48 + 8x = 4 + -12 + 8x Combine like terms: 4 + -12 = -8 48 + 8x = -8 + 8x Add '-8x' to each side of the equation. 48 + 8x + -8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + 0 = -8 + 8x + -8x 48 = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 48 = -8 + 0 48 = -8 Solving 48 = -8 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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