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Simplifying -35 = -5(1 + 3x) + -6(6 + -2x) -35 = (1 * -5 + 3x * -5) + -6(6 + -2x) -35 = (-5 + -15x) + -6(6 + -2x) -35 = -5 + -15x + (6 * -6 + -2x * -6) -35 = -5 + -15x + (-36 + 12x) Reorder the terms: -35 = -5 + -36 + -15x + 12x Combine like terms: -5 + -36 = -41 -35 = -41 + -15x + 12x Combine like terms: -15x + 12x = -3x -35 = -41 + -3x Solving -35 = -41 + -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. -35 + 3x = -41 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 3x = -41 + 0 -35 + 3x = -41 Add '35' to each side of the equation. -35 + 35 + 3x = -41 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -41 + 35 3x = -41 + 35 Combine like terms: -41 + 35 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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