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Simplifying 2(8x + 3) + -4x = 3(4x + 6) + -21 Reorder the terms: 2(3 + 8x) + -4x = 3(4x + 6) + -21 (3 * 2 + 8x * 2) + -4x = 3(4x + 6) + -21 (6 + 16x) + -4x = 3(4x + 6) + -21 Combine like terms: 16x + -4x = 12x 6 + 12x = 3(4x + 6) + -21 Reorder the terms: 6 + 12x = 3(6 + 4x) + -21 6 + 12x = (6 * 3 + 4x * 3) + -21 6 + 12x = (18 + 12x) + -21 Reorder the terms: 6 + 12x = 18 + -21 + 12x Combine like terms: 18 + -21 = -3 6 + 12x = -3 + 12x Add '-12x' to each side of the equation. 6 + 12x + -12x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 0 = -3 + 12x + -12x 6 = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 = -3 + 0 6 = -3 Solving 6 = -3 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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