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Simplifying 5x + 8 + -1[2x + 4] = x + -6 Reorder the terms: 5x + 8 + -1[4 + 2x] = x + -6 5x + 8 + [4 * -1 + 2x * -1] = x + -6 5x + 8 + [-4 + -2x] = x + -6 Reorder the terms: 8 + -4 + 5x + -2x = x + -6 Combine like terms: 8 + -4 = 4 4 + 5x + -2x = x + -6 Combine like terms: 5x + -2x = 3x 4 + 3x = x + -6 Reorder the terms: 4 + 3x = -6 + x Solving 4 + 3x = -6 + 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. 4 + 3x + -1x = -6 + x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = -6 + x + -1x Combine like terms: x + -1x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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