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Simplifying 4 + -1[5 + -3(x + 2)] = x + -3 Reorder the terms: 4 + -1[5 + -3(2 + x)] = x + -3 4 + -1[5 + (2 * -3 + x * -3)] = x + -3 4 + -1[5 + (-6 + -3x)] = x + -3 Combine like terms: 5 + -6 = -1 4 + -1[-1 + -3x] = x + -3 4 + [-1 * -1 + -3x * -1] = x + -3 4 + [1 + 3x] = x + -3 Combine like terms: 4 + 1 = 5 5 + 3x = x + -3 Reorder the terms: 5 + 3x = -3 + x Solving 5 + 3x = -3 + 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. 5 + 3x + -1x = -3 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = -3 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = -3 + 0 5 + 2x = -3 Add '-5' to each side of the equation. 5 + -5 + 2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -3 + -5 2x = -3 + -5 Combine like terms: -3 + -5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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