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Simplifying 3x + 4(3x + -2) = 3 + -1(5x + -2) Reorder the terms: 3x + 4(-2 + 3x) = 3 + -1(5x + -2) 3x + (-2 * 4 + 3x * 4) = 3 + -1(5x + -2) 3x + (-8 + 12x) = 3 + -1(5x + -2) Reorder the terms: -8 + 3x + 12x = 3 + -1(5x + -2) Combine like terms: 3x + 12x = 15x -8 + 15x = 3 + -1(5x + -2) Reorder the terms: -8 + 15x = 3 + -1(-2 + 5x) -8 + 15x = 3 + (-2 * -1 + 5x * -1) -8 + 15x = 3 + (2 + -5x) Combine like terms: 3 + 2 = 5 -8 + 15x = 5 + -5x Solving -8 + 15x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 15x + 5x = 5 + -5x + 5x Combine like terms: 15x + 5x = 20x -8 + 20x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 20x = 5 + 0 -8 + 20x = 5 Add '8' to each side of the equation. -8 + 8 + 20x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 5 + 8 20x = 5 + 8 Combine like terms: 5 + 8 = 13 20x = 13 Divide each side by '20'. x = 0.65 Simplifying x = 0.65
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