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Simplifying 6x + 2(-5 + 3x) = 1 + -1x 6x + (-5 * 2 + 3x * 2) = 1 + -1x 6x + (-10 + 6x) = 1 + -1x Reorder the terms: -10 + 6x + 6x = 1 + -1x Combine like terms: 6x + 6x = 12x -10 + 12x = 1 + -1x Solving -10 + 12x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 12x + x = 1 + -1x + x Combine like terms: 12x + x = 13x -10 + 13x = 1 + -1x + x Combine like terms: -1x + x = 0 -10 + 13x = 1 + 0 -10 + 13x = 1 Add '10' to each side of the equation. -10 + 10 + 13x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 1 + 10 13x = 1 + 10 Combine like terms: 1 + 10 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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