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Simplifying 6 + -1(2 + -4x) + 5 = 3(1 + -3x) 6 + (2 * -1 + -4x * -1) + 5 = 3(1 + -3x) 6 + (-2 + 4x) + 5 = 3(1 + -3x) Reorder the terms: 6 + -2 + 5 + 4x = 3(1 + -3x) Combine like terms: 6 + -2 = 4 4 + 5 + 4x = 3(1 + -3x) Combine like terms: 4 + 5 = 9 9 + 4x = 3(1 + -3x) 9 + 4x = (1 * 3 + -3x * 3) 9 + 4x = (3 + -9x) Solving 9 + 4x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9 + 4x + 9x = 3 + -9x + 9x Combine like terms: 4x + 9x = 13x 9 + 13x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 13x = 3 + 0 9 + 13x = 3 Add '-9' to each side of the equation. 9 + -9 + 13x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 3 + -9 13x = 3 + -9 Combine like terms: 3 + -9 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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