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Simplifying -7x + -6 = 8x + 6(1 + -2x) Reorder the terms: -6 + -7x = 8x + 6(1 + -2x) -6 + -7x = 8x + (1 * 6 + -2x * 6) -6 + -7x = 8x + (6 + -12x) Reorder the terms: -6 + -7x = 6 + 8x + -12x Combine like terms: 8x + -12x = -4x -6 + -7x = 6 + -4x Solving -6 + -7x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -7x + 4x = 6 + -4x + 4x Combine like terms: -7x + 4x = -3x -6 + -3x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + -3x = 6 + 0 -6 + -3x = 6 Add '6' to each side of the equation. -6 + 6 + -3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 6 + 6 -3x = 6 + 6 Combine like terms: 6 + 6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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