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