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Simplifying 2x + -1(3 + -2x) = 4 + -3(4 + -2x) 2x + (3 * -1 + -2x * -1) = 4 + -3(4 + -2x) 2x + (-3 + 2x) = 4 + -3(4 + -2x) Reorder the terms: -3 + 2x + 2x = 4 + -3(4 + -2x) Combine like terms: 2x + 2x = 4x -3 + 4x = 4 + -3(4 + -2x) -3 + 4x = 4 + (4 * -3 + -2x * -3) -3 + 4x = 4 + (-12 + 6x) Combine like terms: 4 + -12 = -8 -3 + 4x = -8 + 6x Solving -3 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = -8 + 0 -3 + -2x = -8 Add '3' to each side of the equation. -3 + 3 + -2x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -8 + 3 -2x = -8 + 3 Combine like terms: -8 + 3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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