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Simplifying 7 + 8(3x + 5) = 3 + -1(4 + -8(3x + -4)) Reorder the terms: 7 + 8(5 + 3x) = 3 + -1(4 + -8(3x + -4)) 7 + (5 * 8 + 3x * 8) = 3 + -1(4 + -8(3x + -4)) 7 + (40 + 24x) = 3 + -1(4 + -8(3x + -4)) Combine like terms: 7 + 40 = 47 47 + 24x = 3 + -1(4 + -8(3x + -4)) Reorder the terms: 47 + 24x = 3 + -1(4 + -8(-4 + 3x)) 47 + 24x = 3 + -1(4 + (-4 * -8 + 3x * -8)) 47 + 24x = 3 + -1(4 + (32 + -24x)) Combine like terms: 4 + 32 = 36 47 + 24x = 3 + -1(36 + -24x) 47 + 24x = 3 + (36 * -1 + -24x * -1) 47 + 24x = 3 + (-36 + 24x) Combine like terms: 3 + -36 = -33 47 + 24x = -33 + 24x Add '-24x' to each side of the equation. 47 + 24x + -24x = -33 + 24x + -24x Combine like terms: 24x + -24x = 0 47 + 0 = -33 + 24x + -24x 47 = -33 + 24x + -24x Combine like terms: 24x + -24x = 0 47 = -33 + 0 47 = -33 Solving 47 = -33 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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