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Simplifying 4x + -2(2 + -1x) = 5 + -3(2x + 1) 4x + (2 * -2 + -1x * -2) = 5 + -3(2x + 1) 4x + (-4 + 2x) = 5 + -3(2x + 1) Reorder the terms: -4 + 4x + 2x = 5 + -3(2x + 1) Combine like terms: 4x + 2x = 6x -4 + 6x = 5 + -3(2x + 1) Reorder the terms: -4 + 6x = 5 + -3(1 + 2x) -4 + 6x = 5 + (1 * -3 + 2x * -3) -4 + 6x = 5 + (-3 + -6x) Combine like terms: 5 + -3 = 2 -4 + 6x = 2 + -6x Solving -4 + 6x = 2 + -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. -4 + 6x + 6x = 2 + -6x + 6x Combine like terms: 6x + 6x = 12x -4 + 12x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 12x = 2 + 0 -4 + 12x = 2 Add '4' to each side of the equation. -4 + 4 + 12x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 2 + 4 12x = 2 + 4 Combine like terms: 2 + 4 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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