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Simplifying 2(x + -5) + 1 = -1(x + 3) Reorder the terms: 2(-5 + x) + 1 = -1(x + 3) (-5 * 2 + x * 2) + 1 = -1(x + 3) (-10 + 2x) + 1 = -1(x + 3) Reorder the terms: -10 + 1 + 2x = -1(x + 3) Combine like terms: -10 + 1 = -9 -9 + 2x = -1(x + 3) Reorder the terms: -9 + 2x = -1(3 + x) -9 + 2x = (3 * -1 + x * -1) -9 + 2x = (-3 + -1x) Solving -9 + 2x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 2x + x = -3 + -1x + x Combine like terms: 2x + x = 3x -9 + 3x = -3 + -1x + x Combine like terms: -1x + x = 0 -9 + 3x = -3 + 0 -9 + 3x = -3 Add '9' to each side of the equation. -9 + 9 + 3x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -3 + 9 3x = -3 + 9 Combine like terms: -3 + 9 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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