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Simplifying 7(3 + x) + -4(x + 1) = 0 (3 * 7 + x * 7) + -4(x + 1) = 0 (21 + 7x) + -4(x + 1) = 0 Reorder the terms: 21 + 7x + -4(1 + x) = 0 21 + 7x + (1 * -4 + x * -4) = 0 21 + 7x + (-4 + -4x) = 0 Reorder the terms: 21 + -4 + 7x + -4x = 0 Combine like terms: 21 + -4 = 17 17 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 17 + 3x = 0 Solving 17 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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