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Simplifying -6(x + 5) = 6x + -30 Reorder the terms: -6(5 + x) = 6x + -30 (5 * -6 + x * -6) = 6x + -30 (-30 + -6x) = 6x + -30 Reorder the terms: -30 + -6x = -30 + 6x Add '30' to each side of the equation. -30 + 30 + -6x = -30 + 30 + 6x Combine like terms: -30 + 30 = 0 0 + -6x = -30 + 30 + 6x -6x = -30 + 30 + 6x Combine like terms: -30 + 30 = 0 -6x = 0 + 6x -6x = 6x Solving -6x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x -12x = 6x + -6x Combine like terms: 6x + -6x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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