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Simplifying 2(3x + 1) = -4(3x + -2) + 5x Reorder the terms: 2(1 + 3x) = -4(3x + -2) + 5x (1 * 2 + 3x * 2) = -4(3x + -2) + 5x (2 + 6x) = -4(3x + -2) + 5x Reorder the terms: 2 + 6x = -4(-2 + 3x) + 5x 2 + 6x = (-2 * -4 + 3x * -4) + 5x 2 + 6x = (8 + -12x) + 5x Combine like terms: -12x + 5x = -7x 2 + 6x = 8 + -7x Solving 2 + 6x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 6x + 7x = 8 + -7x + 7x Combine like terms: 6x + 7x = 13x 2 + 13x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 13x = 8 + 0 2 + 13x = 8 Add '-2' to each side of the equation. 2 + -2 + 13x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 8 + -2 13x = 8 + -2 Combine like terms: 8 + -2 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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