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Simplifying 3x + -2 = 5 + -1(x + -1) Reorder the terms: -2 + 3x = 5 + -1(x + -1) Reorder the terms: -2 + 3x = 5 + -1(-1 + x) -2 + 3x = 5 + (-1 * -1 + x * -1) -2 + 3x = 5 + (1 + -1x) Combine like terms: 5 + 1 = 6 -2 + 3x = 6 + -1x Solving -2 + 3x = 6 + -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. -2 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = 6 + 0 -2 + 4x = 6 Add '2' to each side of the equation. -2 + 2 + 4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 6 + 2 4x = 6 + 2 Combine like terms: 6 + 2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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