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Simplifying 3(x + -5) + -1x = 5(1 + -1x) + 2 Reorder the terms: 3(-5 + x) + -1x = 5(1 + -1x) + 2 (-5 * 3 + x * 3) + -1x = 5(1 + -1x) + 2 (-15 + 3x) + -1x = 5(1 + -1x) + 2 Combine like terms: 3x + -1x = 2x -15 + 2x = 5(1 + -1x) + 2 -15 + 2x = (1 * 5 + -1x * 5) + 2 -15 + 2x = (5 + -5x) + 2 Reorder the terms: -15 + 2x = 5 + 2 + -5x Combine like terms: 5 + 2 = 7 -15 + 2x = 7 + -5x Solving -15 + 2x = 7 + -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. -15 + 2x + 5x = 7 + -5x + 5x Combine like terms: 2x + 5x = 7x -15 + 7x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 7x = 7 + 0 -15 + 7x = 7 Add '15' to each side of the equation. -15 + 15 + 7x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 7 + 15 7x = 7 + 15 Combine like terms: 7 + 15 = 22 7x = 22 Divide each side by '7'. x = 3.142857143 Simplifying x = 3.142857143
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