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Simplifying 2x + 3 + -2[x + -1] = -2[x + -4] + 3 Reorder the terms: 2x + 3 + -2[-1 + x] = -2[x + -4] + 3 2x + 3 + [-1 * -2 + x * -2] = -2[x + -4] + 3 2x + 3 + [2 + -2x] = -2[x + -4] + 3 Reorder the terms: 3 + 2 + 2x + -2x = -2[x + -4] + 3 Combine like terms: 3 + 2 = 5 5 + 2x + -2x = -2[x + -4] + 3 Combine like terms: 2x + -2x = 0 5 + 0 = -2[x + -4] + 3 5 = -2[x + -4] + 3 Reorder the terms: 5 = -2[-4 + x] + 3 5 = [-4 * -2 + x * -2] + 3 5 = [8 + -2x] + 3 Reorder the terms: 5 = 8 + 3 + -2x Combine like terms: 8 + 3 = 11 5 = 11 + -2x Solving 5 = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 2x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 2x = 11 + 0 5 + 2x = 11 Add '-5' to each side of the equation. 5 + -5 + 2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 11 + -5 2x = 11 + -5 Combine like terms: 11 + -5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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