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Simplifying 7x + -6(-1x + -2) + -1 = -3 + -2x + -1(2x + -4) Reorder the terms: 7x + -6(-2 + -1x) + -1 = -3 + -2x + -1(2x + -4) 7x + (-2 * -6 + -1x * -6) + -1 = -3 + -2x + -1(2x + -4) 7x + (12 + 6x) + -1 = -3 + -2x + -1(2x + -4) Reorder the terms: 12 + -1 + 7x + 6x = -3 + -2x + -1(2x + -4) Combine like terms: 12 + -1 = 11 11 + 7x + 6x = -3 + -2x + -1(2x + -4) Combine like terms: 7x + 6x = 13x 11 + 13x = -3 + -2x + -1(2x + -4) Reorder the terms: 11 + 13x = -3 + -2x + -1(-4 + 2x) 11 + 13x = -3 + -2x + (-4 * -1 + 2x * -1) 11 + 13x = -3 + -2x + (4 + -2x) Reorder the terms: 11 + 13x = -3 + 4 + -2x + -2x Combine like terms: -3 + 4 = 1 11 + 13x = 1 + -2x + -2x Combine like terms: -2x + -2x = -4x 11 + 13x = 1 + -4x Solving 11 + 13x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 11 + 13x + 4x = 1 + -4x + 4x Combine like terms: 13x + 4x = 17x 11 + 17x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 17x = 1 + 0 11 + 17x = 1 Add '-11' to each side of the equation. 11 + -11 + 17x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 17x = 1 + -11 17x = 1 + -11 Combine like terms: 1 + -11 = -10 17x = -10 Divide each side by '17'. x = -0.5882352941 Simplifying x = -0.5882352941
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