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Simplifying 12 + -8[3x + -5x(2 + -1x)] = 8x(7 + -5x) 12 + -8[3x + (2 * -5x + -1x * -5x)] = 8x(7 + -5x) 12 + -8[3x + (-10x + 5x2)] = 8x(7 + -5x) Combine like terms: 3x + -10x = -7x 12 + -8[-7x + 5x2] = 8x(7 + -5x) 12 + [-7x * -8 + 5x2 * -8] = 8x(7 + -5x) 12 + [56x + -40x2] = 8x(7 + -5x) 12 + 56x + -40x2 = (7 * 8x + -5x * 8x) 12 + 56x + -40x2 = (56x + -40x2) Add '-56x' to each side of the equation. 12 + 56x + -56x + -40x2 = 56x + -56x + -40x2 Combine like terms: 56x + -56x = 0 12 + 0 + -40x2 = 56x + -56x + -40x2 12 + -40x2 = 56x + -56x + -40x2 Combine like terms: 56x + -56x = 0 12 + -40x2 = 0 + -40x2 12 + -40x2 = -40x2 Add '40x2' to each side of the equation. 12 + -40x2 + 40x2 = -40x2 + 40x2 Combine like terms: -40x2 + 40x2 = 0 12 + 0 = -40x2 + 40x2 12 = -40x2 + 40x2 Combine like terms: -40x2 + 40x2 = 0 12 = 0 Solving 12 = 0 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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