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