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Simplifying 6x + 5(x + -1) = 60 + -2x Reorder the terms: 6x + 5(-1 + x) = 60 + -2x 6x + (-1 * 5 + x * 5) = 60 + -2x 6x + (-5 + 5x) = 60 + -2x Reorder the terms: -5 + 6x + 5x = 60 + -2x Combine like terms: 6x + 5x = 11x -5 + 11x = 60 + -2x Solving -5 + 11x = 60 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 11x + 2x = 60 + -2x + 2x Combine like terms: 11x + 2x = 13x -5 + 13x = 60 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 13x = 60 + 0 -5 + 13x = 60 Add '5' to each side of the equation. -5 + 5 + 13x = 60 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 60 + 5 13x = 60 + 5 Combine like terms: 60 + 5 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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