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Simplifying -6(2x + -5) + 5x = 7(x + 6) Reorder the terms: -6(-5 + 2x) + 5x = 7(x + 6) (-5 * -6 + 2x * -6) + 5x = 7(x + 6) (30 + -12x) + 5x = 7(x + 6) Combine like terms: -12x + 5x = -7x 30 + -7x = 7(x + 6) Reorder the terms: 30 + -7x = 7(6 + x) 30 + -7x = (6 * 7 + x * 7) 30 + -7x = (42 + 7x) Solving 30 + -7x = 42 + 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 + -7x + -7x = 42 + 7x + -7x Combine like terms: -7x + -7x = -14x 30 + -14x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -14x = 42 + 0 30 + -14x = 42 Add '-30' to each side of the equation. 30 + -30 + -14x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 42 + -30 -14x = 42 + -30 Combine like terms: 42 + -30 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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