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Simplifying 3(5x + -1) + -1(3x + -1) = 6x Reorder the terms: 3(-1 + 5x) + -1(3x + -1) = 6x (-1 * 3 + 5x * 3) + -1(3x + -1) = 6x (-3 + 15x) + -1(3x + -1) = 6x Reorder the terms: -3 + 15x + -1(-1 + 3x) = 6x -3 + 15x + (-1 * -1 + 3x * -1) = 6x -3 + 15x + (1 + -3x) = 6x Reorder the terms: -3 + 1 + 15x + -3x = 6x Combine like terms: -3 + 1 = -2 -2 + 15x + -3x = 6x Combine like terms: 15x + -3x = 12x -2 + 12x = 6x Solving -2 + 12x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 12x + -6x = 6x + -6x Combine like terms: 12x + -6x = 6x -2 + 6x = 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 6x = 0 Add '2' to each side of the equation. -2 + 2 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 0 + 2 6x = 0 + 2 Combine like terms: 0 + 2 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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