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Simplifying -6 + -2(1 + 2x) = -6(-7x + 9) -6 + (1 * -2 + 2x * -2) = -6(-7x + 9) -6 + (-2 + -4x) = -6(-7x + 9) Combine like terms: -6 + -2 = -8 -8 + -4x = -6(-7x + 9) Reorder the terms: -8 + -4x = -6(9 + -7x) -8 + -4x = (9 * -6 + -7x * -6) -8 + -4x = (-54 + 42x) Solving -8 + -4x = -54 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -8 + -4x + -42x = -54 + 42x + -42x Combine like terms: -4x + -42x = -46x -8 + -46x = -54 + 42x + -42x Combine like terms: 42x + -42x = 0 -8 + -46x = -54 + 0 -8 + -46x = -54 Add '8' to each side of the equation. -8 + 8 + -46x = -54 + 8 Combine like terms: -8 + 8 = 0 0 + -46x = -54 + 8 -46x = -54 + 8 Combine like terms: -54 + 8 = -46 -46x = -46 Divide each side by '-46'. x = 1 Simplifying x = 1
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