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Simplifying 6 + -1[-6x + 6 + 4(x + 1)] = 6x + 2 Reorder the terms: 6 + -1[-6x + 6 + 4(1 + x)] = 6x + 2 6 + -1[-6x + 6 + (1 * 4 + x * 4)] = 6x + 2 6 + -1[-6x + 6 + (4 + 4x)] = 6x + 2 Reorder the terms: 6 + -1[6 + 4 + -6x + 4x] = 6x + 2 Combine like terms: 6 + 4 = 10 6 + -1[10 + -6x + 4x] = 6x + 2 Combine like terms: -6x + 4x = -2x 6 + -1[10 + -2x] = 6x + 2 6 + [10 * -1 + -2x * -1] = 6x + 2 6 + [-10 + 2x] = 6x + 2 Combine like terms: 6 + -10 = -4 -4 + 2x = 6x + 2 Reorder the terms: -4 + 2x = 2 + 6x Solving -4 + 2x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = 2 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 2 + 0 -4 + -4x = 2 Add '4' to each side of the equation. -4 + 4 + -4x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 2 + 4 -4x = 2 + 4 Combine like terms: 2 + 4 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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