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Simplifying 2(x + -3) + -1 = 3 + -1(x + 1) Reorder the terms: 2(-3 + x) + -1 = 3 + -1(x + 1) (-3 * 2 + x * 2) + -1 = 3 + -1(x + 1) (-6 + 2x) + -1 = 3 + -1(x + 1) Reorder the terms: -6 + -1 + 2x = 3 + -1(x + 1) Combine like terms: -6 + -1 = -7 -7 + 2x = 3 + -1(x + 1) Reorder the terms: -7 + 2x = 3 + -1(1 + x) -7 + 2x = 3 + (1 * -1 + x * -1) -7 + 2x = 3 + (-1 + -1x) Combine like terms: 3 + -1 = 2 -7 + 2x = 2 + -1x Solving -7 + 2x = 2 + -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. -7 + 2x + x = 2 + -1x + x Combine like terms: 2x + x = 3x -7 + 3x = 2 + -1x + x Combine like terms: -1x + x = 0 -7 + 3x = 2 + 0 -7 + 3x = 2 Add '7' to each side of the equation. -7 + 7 + 3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 2 + 7 3x = 2 + 7 Combine like terms: 2 + 7 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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