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Simplifying -3(1 + -9x) + 6(-7x + -2) = -3x + -9x (1 * -3 + -9x * -3) + 6(-7x + -2) = -3x + -9x (-3 + 27x) + 6(-7x + -2) = -3x + -9x Reorder the terms: -3 + 27x + 6(-2 + -7x) = -3x + -9x -3 + 27x + (-2 * 6 + -7x * 6) = -3x + -9x -3 + 27x + (-12 + -42x) = -3x + -9x Reorder the terms: -3 + -12 + 27x + -42x = -3x + -9x Combine like terms: -3 + -12 = -15 -15 + 27x + -42x = -3x + -9x Combine like terms: 27x + -42x = -15x -15 + -15x = -3x + -9x Combine like terms: -3x + -9x = -12x -15 + -15x = -12x Solving -15 + -15x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x -15 + -3x = -12x + 12x Combine like terms: -12x + 12x = 0 -15 + -3x = 0 Add '15' to each side of the equation. -15 + 15 + -3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 0 + 15 -3x = 0 + 15 Combine like terms: 0 + 15 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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