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Simplifying 6(7x + 8) + -7(6x + 4) = 5(6 + 7x) + -35(x + -1) Reorder the terms: 6(8 + 7x) + -7(6x + 4) = 5(6 + 7x) + -35(x + -1) (8 * 6 + 7x * 6) + -7(6x + 4) = 5(6 + 7x) + -35(x + -1) (48 + 42x) + -7(6x + 4) = 5(6 + 7x) + -35(x + -1) Reorder the terms: 48 + 42x + -7(4 + 6x) = 5(6 + 7x) + -35(x + -1) 48 + 42x + (4 * -7 + 6x * -7) = 5(6 + 7x) + -35(x + -1) 48 + 42x + (-28 + -42x) = 5(6 + 7x) + -35(x + -1) Reorder the terms: 48 + -28 + 42x + -42x = 5(6 + 7x) + -35(x + -1) Combine like terms: 48 + -28 = 20 20 + 42x + -42x = 5(6 + 7x) + -35(x + -1) Combine like terms: 42x + -42x = 0 20 + 0 = 5(6 + 7x) + -35(x + -1) 20 = 5(6 + 7x) + -35(x + -1) 20 = (6 * 5 + 7x * 5) + -35(x + -1) 20 = (30 + 35x) + -35(x + -1) Reorder the terms: 20 = 30 + 35x + -35(-1 + x) 20 = 30 + 35x + (-1 * -35 + x * -35) 20 = 30 + 35x + (35 + -35x) Reorder the terms: 20 = 30 + 35 + 35x + -35x Combine like terms: 30 + 35 = 65 20 = 65 + 35x + -35x Combine like terms: 35x + -35x = 0 20 = 65 + 0 20 = 65 Solving 20 = 65 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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