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