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