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Simplifying 4[5x + -1(3x + -7)] = 2(4x + -5) Reorder the terms: 4[5x + -1(-7 + 3x)] = 2(4x + -5) 4[5x + (-7 * -1 + 3x * -1)] = 2(4x + -5) 4[5x + (7 + -3x)] = 2(4x + -5) Reorder the terms: 4[7 + 5x + -3x] = 2(4x + -5) Combine like terms: 5x + -3x = 2x 4[7 + 2x] = 2(4x + -5) [7 * 4 + 2x * 4] = 2(4x + -5) [28 + 8x] = 2(4x + -5) Reorder the terms: 28 + 8x = 2(-5 + 4x) 28 + 8x = (-5 * 2 + 4x * 2) 28 + 8x = (-10 + 8x) Add '-8x' to each side of the equation. 28 + 8x + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 0 = -10 + 8x + -8x 28 = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 28 = -10 + 0 28 = -10 Solving 28 = -10 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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