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