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