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Simplifying 5[4 + -7(7 + -3x + -4)] = 105x + 160 Reorder the terms: 5[4 + -7(7 + -4 + -3x)] = 105x + 160 Combine like terms: 7 + -4 = 3 5[4 + -7(3 + -3x)] = 105x + 160 5[4 + (3 * -7 + -3x * -7)] = 105x + 160 5[4 + (-21 + 21x)] = 105x + 160 Combine like terms: 4 + -21 = -17 5[-17 + 21x] = 105x + 160 [-17 * 5 + 21x * 5] = 105x + 160 [-85 + 105x] = 105x + 160 Reorder the terms: -85 + 105x = 160 + 105x Add '-105x' to each side of the equation. -85 + 105x + -105x = 160 + 105x + -105x Combine like terms: 105x + -105x = 0 -85 + 0 = 160 + 105x + -105x -85 = 160 + 105x + -105x Combine like terms: 105x + -105x = 0 -85 = 160 + 0 -85 = 160 Solving -85 = 160 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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