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Simplifying x + -6(x + -2) = 9 + -1(3x + 5) Reorder the terms: x + -6(-2 + x) = 9 + -1(3x + 5) x + (-2 * -6 + x * -6) = 9 + -1(3x + 5) x + (12 + -6x) = 9 + -1(3x + 5) Reorder the terms: 12 + x + -6x = 9 + -1(3x + 5) Combine like terms: x + -6x = -5x 12 + -5x = 9 + -1(3x + 5) Reorder the terms: 12 + -5x = 9 + -1(5 + 3x) 12 + -5x = 9 + (5 * -1 + 3x * -1) 12 + -5x = 9 + (-5 + -3x) Combine like terms: 9 + -5 = 4 12 + -5x = 4 + -3x Solving 12 + -5x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -5x + 3x = 4 + -3x + 3x Combine like terms: -5x + 3x = -2x 12 + -2x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -2x = 4 + 0 12 + -2x = 4 Add '-12' to each side of the equation. 12 + -12 + -2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 4 + -12 -2x = 4 + -12 Combine like terms: 4 + -12 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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