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Simplifying 7(5x + 8) = 12 + -1(x + -4) Reorder the terms: 7(8 + 5x) = 12 + -1(x + -4) (8 * 7 + 5x * 7) = 12 + -1(x + -4) (56 + 35x) = 12 + -1(x + -4) Reorder the terms: 56 + 35x = 12 + -1(-4 + x) 56 + 35x = 12 + (-4 * -1 + x * -1) 56 + 35x = 12 + (4 + -1x) Combine like terms: 12 + 4 = 16 56 + 35x = 16 + -1x Solving 56 + 35x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 56 + 35x + x = 16 + -1x + x Combine like terms: 35x + x = 36x 56 + 36x = 16 + -1x + x Combine like terms: -1x + x = 0 56 + 36x = 16 + 0 56 + 36x = 16 Add '-56' to each side of the equation. 56 + -56 + 36x = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 36x = 16 + -56 36x = 16 + -56 Combine like terms: 16 + -56 = -40 36x = -40 Divide each side by '36'. x = -1.111111111 Simplifying x = -1.111111111
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