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Simplifying 12x + -4(3 + -1x) = 8(2x + -4) + 16 12x + (3 * -4 + -1x * -4) = 8(2x + -4) + 16 12x + (-12 + 4x) = 8(2x + -4) + 16 Reorder the terms: -12 + 12x + 4x = 8(2x + -4) + 16 Combine like terms: 12x + 4x = 16x -12 + 16x = 8(2x + -4) + 16 Reorder the terms: -12 + 16x = 8(-4 + 2x) + 16 -12 + 16x = (-4 * 8 + 2x * 8) + 16 -12 + 16x = (-32 + 16x) + 16 Reorder the terms: -12 + 16x = -32 + 16 + 16x Combine like terms: -32 + 16 = -16 -12 + 16x = -16 + 16x Add '-16x' to each side of the equation. -12 + 16x + -16x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + 0 = -16 + 16x + -16x -12 = -16 + 16x + -16x Combine like terms: 16x + -16x = 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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