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