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Simplifying 7x + -34 = -5(-8 + 6x) Reorder the terms: -34 + 7x = -5(-8 + 6x) -34 + 7x = (-8 * -5 + 6x * -5) -34 + 7x = (40 + -30x) Solving -34 + 7x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -34 + 7x + 30x = 40 + -30x + 30x Combine like terms: 7x + 30x = 37x -34 + 37x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 -34 + 37x = 40 + 0 -34 + 37x = 40 Add '34' to each side of the equation. -34 + 34 + 37x = 40 + 34 Combine like terms: -34 + 34 = 0 0 + 37x = 40 + 34 37x = 40 + 34 Combine like terms: 40 + 34 = 74 37x = 74 Divide each side by '37'. x = 2 Simplifying x = 2
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