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Simplifying 7(x + 8) + -4(x + 5) = 0 Reorder the terms: 7(8 + x) + -4(x + 5) = 0 (8 * 7 + x * 7) + -4(x + 5) = 0 (56 + 7x) + -4(x + 5) = 0 Reorder the terms: 56 + 7x + -4(5 + x) = 0 56 + 7x + (5 * -4 + x * -4) = 0 56 + 7x + (-20 + -4x) = 0 Reorder the terms: 56 + -20 + 7x + -4x = 0 Combine like terms: 56 + -20 = 36 36 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 36 + 3x = 0 Solving 36 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 3x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 0 + -36 3x = 0 + -36 Combine like terms: 0 + -36 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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