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Simplifying 5x + -1(3x + -2) = 1 Reorder the terms: 5x + -1(-2 + 3x) = 1 5x + (-2 * -1 + 3x * -1) = 1 5x + (2 + -3x) = 1 Reorder the terms: 2 + 5x + -3x = 1 Combine like terms: 5x + -3x = 2x 2 + 2x = 1 Solving 2 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 1 + -2 2x = 1 + -2 Combine like terms: 1 + -2 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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