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Simplifying 7x + -2(4 + -2x) + 6(5 + -1x) + -1x + 2 + -1(6x + 5) = 0 7x + (4 * -2 + -2x * -2) + 6(5 + -1x) + -1x + 2 + -1(6x + 5) = 0 7x + (-8 + 4x) + 6(5 + -1x) + -1x + 2 + -1(6x + 5) = 0 7x + -8 + 4x + (5 * 6 + -1x * 6) + -1x + 2 + -1(6x + 5) = 0 7x + -8 + 4x + (30 + -6x) + -1x + 2 + -1(6x + 5) = 0 Reorder the terms: 7x + -8 + 4x + 30 + -6x + -1x + 2 + -1(5 + 6x) = 0 7x + -8 + 4x + 30 + -6x + -1x + 2 + (5 * -1 + 6x * -1) = 0 7x + -8 + 4x + 30 + -6x + -1x + 2 + (-5 + -6x) = 0 Reorder the terms: -8 + 30 + 2 + -5 + 7x + 4x + -6x + -1x + -6x = 0 Combine like terms: -8 + 30 = 22 22 + 2 + -5 + 7x + 4x + -6x + -1x + -6x = 0 Combine like terms: 22 + 2 = 24 24 + -5 + 7x + 4x + -6x + -1x + -6x = 0 Combine like terms: 24 + -5 = 19 19 + 7x + 4x + -6x + -1x + -6x = 0 Combine like terms: 7x + 4x = 11x 19 + 11x + -6x + -1x + -6x = 0 Combine like terms: 11x + -6x = 5x 19 + 5x + -1x + -6x = 0 Combine like terms: 5x + -1x = 4x 19 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x 19 + -2x = 0 Solving 19 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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