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Simplifying 7(5x + 8) + (x + -4) = 12 Reorder the terms: 7(8 + 5x) + (x + -4) = 12 (8 * 7 + 5x * 7) + (x + -4) = 12 (56 + 35x) + (x + -4) = 12 Reorder the terms: 56 + 35x + (-4 + x) = 12 Remove parenthesis around (-4 + x) 56 + 35x + -4 + x = 12 Reorder the terms: 56 + -4 + 35x + x = 12 Combine like terms: 56 + -4 = 52 52 + 35x + x = 12 Combine like terms: 35x + x = 36x 52 + 36x = 12 Solving 52 + 36x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 36x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + 36x = 12 + -52 36x = 12 + -52 Combine like terms: 12 + -52 = -40 36x = -40 Divide each side by '36'. x = -1.111111111 Simplifying x = -1.111111111
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