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Simplifying 7x + -1(4x + -10) + -1(x + -2) = 0 Reorder the terms: 7x + -1(-10 + 4x) + -1(x + -2) = 0 7x + (-10 * -1 + 4x * -1) + -1(x + -2) = 0 7x + (10 + -4x) + -1(x + -2) = 0 Reorder the terms: 7x + 10 + -4x + -1(-2 + x) = 0 7x + 10 + -4x + (-2 * -1 + x * -1) = 0 7x + 10 + -4x + (2 + -1x) = 0 Reorder the terms: 10 + 2 + 7x + -4x + -1x = 0 Combine like terms: 10 + 2 = 12 12 + 7x + -4x + -1x = 0 Combine like terms: 7x + -4x = 3x 12 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 12 + 2x = 0 Solving 12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 0 + -12 2x = 0 + -12 Combine like terms: 0 + -12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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