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Simplifying 2(3x + -5) + -3(x + -1) = 0 Reorder the terms: 2(-5 + 3x) + -3(x + -1) = 0 (-5 * 2 + 3x * 2) + -3(x + -1) = 0 (-10 + 6x) + -3(x + -1) = 0 Reorder the terms: -10 + 6x + -3(-1 + x) = 0 -10 + 6x + (-1 * -3 + x * -3) = 0 -10 + 6x + (3 + -3x) = 0 Reorder the terms: -10 + 3 + 6x + -3x = 0 Combine like terms: -10 + 3 = -7 -7 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x -7 + 3x = 0 Solving -7 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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