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