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Simplifying 4 + 8(x + -2) = 12x + -4(x + 4) Reorder the terms: 4 + 8(-2 + x) = 12x + -4(x + 4) 4 + (-2 * 8 + x * 8) = 12x + -4(x + 4) 4 + (-16 + 8x) = 12x + -4(x + 4) Combine like terms: 4 + -16 = -12 -12 + 8x = 12x + -4(x + 4) Reorder the terms: -12 + 8x = 12x + -4(4 + x) -12 + 8x = 12x + (4 * -4 + x * -4) -12 + 8x = 12x + (-16 + -4x) Reorder the terms: -12 + 8x = -16 + 12x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = -16 + 8x Add '-8x' to each side of the equation. -12 + 8x + -8x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 0 = -16 + 8x + -8x -12 = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 = -16 + 0 -12 = -16 Solving -12 = -16 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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