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Simplifying 2[x + -1(4 + 2x) + 3] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 2[x + (4 * -1 + 2x * -1) + 3] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 2[x + (-4 + -2x) + 3] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Reorder the terms: 2[-4 + 3 + x + -2x] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Combine like terms: -4 + 3 = -1 2[-1 + x + -2x] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Combine like terms: x + -2x = -1x 2[-1 + -1x] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 [-1 * 2 + -1x * 2] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 [-2 + -2x] + -2x + -2 = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Reorder the terms: -2 + -2 + -2x + -2x = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Combine like terms: -2 + -2 = -4 -4 + -2x + -2x = 4[2x + -1(3 + -1x) + 5] + 6x + 28 Combine like terms: -2x + -2x = -4x -4 + -4x = 4[2x + -1(3 + -1x) + 5] + 6x + 28 -4 + -4x = 4[2x + (3 * -1 + -1x * -1) + 5] + 6x + 28 -4 + -4x = 4[2x + (-3 + 1x) + 5] + 6x + 28 Reorder the terms: -4 + -4x = 4[-3 + 5 + 2x + 1x] + 6x + 28 Combine like terms: -3 + 5 = 2 -4 + -4x = 4[2 + 2x + 1x] + 6x + 28 Combine like terms: 2x + 1x = 3x -4 + -4x = 4[2 + 3x] + 6x + 28 -4 + -4x = [2 * 4 + 3x * 4] + 6x + 28 -4 + -4x = [8 + 12x] + 6x + 28 Reorder the terms: -4 + -4x = 8 + 28 + 12x + 6x Combine like terms: 8 + 28 = 36 -4 + -4x = 36 + 12x + 6x Combine like terms: 12x + 6x = 18x -4 + -4x = 36 + 18x Solving -4 + -4x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + -4x + -18x = 36 + 18x + -18x Combine like terms: -4x + -18x = -22x -4 + -22x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -22x = 36 + 0 -4 + -22x = 36 Add '4' to each side of the equation. -4 + 4 + -22x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -22x = 36 + 4 -22x = 36 + 4 Combine like terms: 36 + 4 = 40 -22x = 40 Divide each side by '-22'. x = -1.818181818 Simplifying x = -1.818181818
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