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Simplifying 2[x + -1(2 + -3x) + -4] = x + -5 2[x + (2 * -1 + -3x * -1) + -4] = x + -5 2[x + (-2 + 3x) + -4] = x + -5 Reorder the terms: 2[-2 + -4 + x + 3x] = x + -5 Combine like terms: -2 + -4 = -6 2[-6 + x + 3x] = x + -5 Combine like terms: x + 3x = 4x 2[-6 + 4x] = x + -5 [-6 * 2 + 4x * 2] = x + -5 [-12 + 8x] = x + -5 Reorder the terms: -12 + 8x = -5 + x Solving -12 + 8x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 8x + -1x = -5 + x + -1x Combine like terms: 8x + -1x = 7x -12 + 7x = -5 + x + -1x Combine like terms: x + -1x = 0 -12 + 7x = -5 + 0 -12 + 7x = -5 Add '12' to each side of the equation. -12 + 12 + 7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -5 + 12 7x = -5 + 12 Combine like terms: -5 + 12 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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