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Simplifying 3x + -1(2x + 4) = 2(x + 1) + -2x + 1 Reorder the terms: 3x + -1(4 + 2x) = 2(x + 1) + -2x + 1 3x + (4 * -1 + 2x * -1) = 2(x + 1) + -2x + 1 3x + (-4 + -2x) = 2(x + 1) + -2x + 1 Reorder the terms: -4 + 3x + -2x = 2(x + 1) + -2x + 1 Combine like terms: 3x + -2x = 1x -4 + 1x = 2(x + 1) + -2x + 1 Reorder the terms: -4 + 1x = 2(1 + x) + -2x + 1 -4 + 1x = (1 * 2 + x * 2) + -2x + 1 -4 + 1x = (2 + 2x) + -2x + 1 Reorder the terms: -4 + 1x = 2 + 1 + 2x + -2x Combine like terms: 2 + 1 = 3 -4 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = 3 + 0 -4 + 1x = 3 Solving -4 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 3 + 4 1x = 3 + 4 Combine like terms: 3 + 4 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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