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Simplifying 1 + 2[3 + -1(2x + 4)] = 4x + -1(x + 3) Reorder the terms: 1 + 2[3 + -1(4 + 2x)] = 4x + -1(x + 3) 1 + 2[3 + (4 * -1 + 2x * -1)] = 4x + -1(x + 3) 1 + 2[3 + (-4 + -2x)] = 4x + -1(x + 3) Combine like terms: 3 + -4 = -1 1 + 2[-1 + -2x] = 4x + -1(x + 3) 1 + [-1 * 2 + -2x * 2] = 4x + -1(x + 3) 1 + [-2 + -4x] = 4x + -1(x + 3) Combine like terms: 1 + -2 = -1 -1 + -4x = 4x + -1(x + 3) Reorder the terms: -1 + -4x = 4x + -1(3 + x) -1 + -4x = 4x + (3 * -1 + x * -1) -1 + -4x = 4x + (-3 + -1x) Reorder the terms: -1 + -4x = -3 + 4x + -1x Combine like terms: 4x + -1x = 3x -1 + -4x = -3 + 3x Solving -1 + -4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x -1 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -7x = -3 + 0 -1 + -7x = -3 Add '1' to each side of the equation. -1 + 1 + -7x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -3 + 1 -7x = -3 + 1 Combine like terms: -3 + 1 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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