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Simplifying 2(x + -1) = 3(x + -2) + x Reorder the terms: 2(-1 + x) = 3(x + -2) + x (-1 * 2 + x * 2) = 3(x + -2) + x (-2 + 2x) = 3(x + -2) + x Reorder the terms: -2 + 2x = 3(-2 + x) + x -2 + 2x = (-2 * 3 + x * 3) + x -2 + 2x = (-6 + 3x) + x Combine like terms: 3x + x = 4x -2 + 2x = -6 + 4x Solving -2 + 2x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = -6 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = -6 + 0 -2 + -2x = -6 Add '2' to each side of the equation. -2 + 2 + -2x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -6 + 2 -2x = -6 + 2 Combine like terms: -6 + 2 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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