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Simplifying 7(x + 2) + -1(4x + -2) = 0 Reorder the terms: 7(2 + x) + -1(4x + -2) = 0 (2 * 7 + x * 7) + -1(4x + -2) = 0 (14 + 7x) + -1(4x + -2) = 0 Reorder the terms: 14 + 7x + -1(-2 + 4x) = 0 14 + 7x + (-2 * -1 + 4x * -1) = 0 14 + 7x + (2 + -4x) = 0 Reorder the terms: 14 + 2 + 7x + -4x = 0 Combine like terms: 14 + 2 = 16 16 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 16 + 3x = 0 Solving 16 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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