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Simplifying 6x + -34 = -5(x + -2) Reorder the terms: -34 + 6x = -5(x + -2) Reorder the terms: -34 + 6x = -5(-2 + x) -34 + 6x = (-2 * -5 + x * -5) -34 + 6x = (10 + -5x) Solving -34 + 6x = 10 + -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. -34 + 6x + 5x = 10 + -5x + 5x Combine like terms: 6x + 5x = 11x -34 + 11x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -34 + 11x = 10 + 0 -34 + 11x = 10 Add '34' to each side of the equation. -34 + 34 + 11x = 10 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = 10 + 34 11x = 10 + 34 Combine like terms: 10 + 34 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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