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Simplifying 7(x + 3) + -2(2x + 5) = 0 Reorder the terms: 7(3 + x) + -2(2x + 5) = 0 (3 * 7 + x * 7) + -2(2x + 5) = 0 (21 + 7x) + -2(2x + 5) = 0 Reorder the terms: 21 + 7x + -2(5 + 2x) = 0 21 + 7x + (5 * -2 + 2x * -2) = 0 21 + 7x + (-10 + -4x) = 0 Reorder the terms: 21 + -10 + 7x + -4x = 0 Combine like terms: 21 + -10 = 11 11 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 11 + 3x = 0 Solving 11 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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