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