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Simplifying 6(2x + -5) = 5(x + -6) + -7 Reorder the terms: 6(-5 + 2x) = 5(x + -6) + -7 (-5 * 6 + 2x * 6) = 5(x + -6) + -7 (-30 + 12x) = 5(x + -6) + -7 Reorder the terms: -30 + 12x = 5(-6 + x) + -7 -30 + 12x = (-6 * 5 + x * 5) + -7 -30 + 12x = (-30 + 5x) + -7 Reorder the terms: -30 + 12x = -30 + -7 + 5x Combine like terms: -30 + -7 = -37 -30 + 12x = -37 + 5x Solving -30 + 12x = -37 + 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 + 12x + -5x = -37 + 5x + -5x Combine like terms: 12x + -5x = 7x -30 + 7x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 7x = -37 + 0 -30 + 7x = -37 Add '30' to each side of the equation. -30 + 30 + 7x = -37 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = -37 + 30 7x = -37 + 30 Combine like terms: -37 + 30 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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