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Simplifying 5(8 + 7x) + 7(x + 3) = -67 (8 * 5 + 7x * 5) + 7(x + 3) = -67 (40 + 35x) + 7(x + 3) = -67 Reorder the terms: 40 + 35x + 7(3 + x) = -67 40 + 35x + (3 * 7 + x * 7) = -67 40 + 35x + (21 + 7x) = -67 Reorder the terms: 40 + 21 + 35x + 7x = -67 Combine like terms: 40 + 21 = 61 61 + 35x + 7x = -67 Combine like terms: 35x + 7x = 42x 61 + 42x = -67 Solving 61 + 42x = -67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 42x = -67 + -61 Combine like terms: 61 + -61 = 0 0 + 42x = -67 + -61 42x = -67 + -61 Combine like terms: -67 + -61 = -128 42x = -128 Divide each side by '42'. x = -3.047619048 Simplifying x = -3.047619048
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