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Simplifying 3(5x + -1) + -5(3x + -1) = 6x Reorder the terms: 3(-1 + 5x) + -5(3x + -1) = 6x (-1 * 3 + 5x * 3) + -5(3x + -1) = 6x (-3 + 15x) + -5(3x + -1) = 6x Reorder the terms: -3 + 15x + -5(-1 + 3x) = 6x -3 + 15x + (-1 * -5 + 3x * -5) = 6x -3 + 15x + (5 + -15x) = 6x Reorder the terms: -3 + 5 + 15x + -15x = 6x Combine like terms: -3 + 5 = 2 2 + 15x + -15x = 6x Combine like terms: 15x + -15x = 0 2 + 0 = 6x 2 = 6x Solving 2 = 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 + -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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