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Simplifying -1(5x + 1) = 3x + 2x + -1 Reorder the terms: -1(1 + 5x) = 3x + 2x + -1 (1 * -1 + 5x * -1) = 3x + 2x + -1 (-1 + -5x) = 3x + 2x + -1 Reorder the terms: -1 + -5x = -1 + 3x + 2x Combine like terms: 3x + 2x = 5x -1 + -5x = -1 + 5x Add '1' to each side of the equation. -1 + 1 + -5x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + -5x = -1 + 1 + 5x -5x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 -5x = 0 + 5x -5x = 5x Solving -5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5x + -5x = 5x + -5x Combine like terms: -5x + -5x = -10x -10x = 5x + -5x Combine like terms: 5x + -5x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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