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Simplifying 5x + -1(2 + -3x) = 2x + -2 5x + (2 * -1 + -3x * -1) = 2x + -2 5x + (-2 + 3x) = 2x + -2 Reorder the terms: -2 + 5x + 3x = 2x + -2 Combine like terms: 5x + 3x = 8x -2 + 8x = 2x + -2 Reorder the terms: -2 + 8x = -2 + 2x Add '2' to each side of the equation. -2 + 2 + 8x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 0 + 8x = -2 + 2 + 2x 8x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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