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Simplifying 2(x + -5) + -1 = 3(1 + -1x) + 1 Reorder the terms: 2(-5 + x) + -1 = 3(1 + -1x) + 1 (-5 * 2 + x * 2) + -1 = 3(1 + -1x) + 1 (-10 + 2x) + -1 = 3(1 + -1x) + 1 Reorder the terms: -10 + -1 + 2x = 3(1 + -1x) + 1 Combine like terms: -10 + -1 = -11 -11 + 2x = 3(1 + -1x) + 1 -11 + 2x = (1 * 3 + -1x * 3) + 1 -11 + 2x = (3 + -3x) + 1 Reorder the terms: -11 + 2x = 3 + 1 + -3x Combine like terms: 3 + 1 = 4 -11 + 2x = 4 + -3x Solving -11 + 2x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + 2x + 3x = 4 + -3x + 3x Combine like terms: 2x + 3x = 5x -11 + 5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 5x = 4 + 0 -11 + 5x = 4 Add '11' to each side of the equation. -11 + 11 + 5x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 4 + 11 5x = 4 + 11 Combine like terms: 4 + 11 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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