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Simplifying 3x + -2 = 2(x + -1) + 8 Reorder the terms: -2 + 3x = 2(x + -1) + 8 Reorder the terms: -2 + 3x = 2(-1 + x) + 8 -2 + 3x = (-1 * 2 + x * 2) + 8 -2 + 3x = (-2 + 2x) + 8 Reorder the terms: -2 + 3x = -2 + 8 + 2x Combine like terms: -2 + 8 = 6 -2 + 3x = 6 + 2x Solving -2 + 3x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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