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Simplifying -5(x + 6) = 7x + 30 Reorder the terms: -5(6 + x) = 7x + 30 (6 * -5 + x * -5) = 7x + 30 (-30 + -5x) = 7x + 30 Reorder the terms: -30 + -5x = 30 + 7x Solving -30 + -5x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + -5x + -7x = 30 + 7x + -7x Combine like terms: -5x + -7x = -12x -30 + -12x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -12x = 30 + 0 -30 + -12x = 30 Add '30' to each side of the equation. -30 + 30 + -12x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = 30 + 30 -12x = 30 + 30 Combine like terms: 30 + 30 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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