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Simplifying -6x + -6(1 + -2x) = 6x + 2(2x + 5) -6x + (1 * -6 + -2x * -6) = 6x + 2(2x + 5) -6x + (-6 + 12x) = 6x + 2(2x + 5) Reorder the terms: -6 + -6x + 12x = 6x + 2(2x + 5) Combine like terms: -6x + 12x = 6x -6 + 6x = 6x + 2(2x + 5) Reorder the terms: -6 + 6x = 6x + 2(5 + 2x) -6 + 6x = 6x + (5 * 2 + 2x * 2) -6 + 6x = 6x + (10 + 4x) Reorder the terms: -6 + 6x = 10 + 6x + 4x Combine like terms: 6x + 4x = 10x -6 + 6x = 10 + 10x Solving -6 + 6x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x -6 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -4x = 10 + 0 -6 + -4x = 10 Add '6' to each side of the equation. -6 + 6 + -4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 10 + 6 -4x = 10 + 6 Combine like terms: 10 + 6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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