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Simplifying 3x + -5(1 + -1x) = -2x + 3(1 + -1x) 3x + (1 * -5 + -1x * -5) = -2x + 3(1 + -1x) 3x + (-5 + 5x) = -2x + 3(1 + -1x) Reorder the terms: -5 + 3x + 5x = -2x + 3(1 + -1x) Combine like terms: 3x + 5x = 8x -5 + 8x = -2x + 3(1 + -1x) -5 + 8x = -2x + (1 * 3 + -1x * 3) -5 + 8x = -2x + (3 + -3x) Reorder the terms: -5 + 8x = 3 + -2x + -3x Combine like terms: -2x + -3x = -5x -5 + 8x = 3 + -5x Solving -5 + 8x = 3 + -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. -5 + 8x + 5x = 3 + -5x + 5x Combine like terms: 8x + 5x = 13x -5 + 13x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 13x = 3 + 0 -5 + 13x = 3 Add '5' to each side of the equation. -5 + 5 + 13x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 3 + 5 13x = 3 + 5 Combine like terms: 3 + 5 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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