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Simplifying -5(1 + x) + -6(x + 5) = 2x + -6x (1 * -5 + x * -5) + -6(x + 5) = 2x + -6x (-5 + -5x) + -6(x + 5) = 2x + -6x Reorder the terms: -5 + -5x + -6(5 + x) = 2x + -6x -5 + -5x + (5 * -6 + x * -6) = 2x + -6x -5 + -5x + (-30 + -6x) = 2x + -6x Reorder the terms: -5 + -30 + -5x + -6x = 2x + -6x Combine like terms: -5 + -30 = -35 -35 + -5x + -6x = 2x + -6x Combine like terms: -5x + -6x = -11x -35 + -11x = 2x + -6x Combine like terms: 2x + -6x = -4x -35 + -11x = -4x Solving -35 + -11x = -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. -35 + -11x + 4x = -4x + 4x Combine like terms: -11x + 4x = -7x -35 + -7x = -4x + 4x Combine like terms: -4x + 4x = 0 -35 + -7x = 0 Add '35' to each side of the equation. -35 + 35 + -7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 0 + 35 -7x = 0 + 35 Combine like terms: 0 + 35 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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