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Simplifying 7(x + 3) + -1(4x + -2) = 0 Reorder the terms: 7(3 + x) + -1(4x + -2) = 0 (3 * 7 + x * 7) + -1(4x + -2) = 0 (21 + 7x) + -1(4x + -2) = 0 Reorder the terms: 21 + 7x + -1(-2 + 4x) = 0 21 + 7x + (-2 * -1 + 4x * -1) = 0 21 + 7x + (2 + -4x) = 0 Reorder the terms: 21 + 2 + 7x + -4x = 0 Combine like terms: 21 + 2 = 23 23 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 23 + 3x = 0 Solving 23 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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