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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 = 8 56 + 35x = 8 + -1x Solving 56 + 35x = 8 + -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 = 8 + -1x + x Combine like terms: 35x + x = 36x 56 + 36x = 8 + -1x + x Combine like terms: -1x + x = 0 56 + 36x = 8 + 0 56 + 36x = 8 Add '-56' to each side of the equation. 56 + -56 + 36x = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 36x = 8 + -56 36x = 8 + -56 Combine like terms: 8 + -56 = -48 36x = -48 Divide each side by '36'. x = -1.333333333 Simplifying x = -1.333333333
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