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