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Simplifying 9x + 1 + -1(x + -1) = 6x + 60 Reorder the terms: 9x + 1 + -1(-1 + x) = 6x + 60 9x + 1 + (-1 * -1 + x * -1) = 6x + 60 9x + 1 + (1 + -1x) = 6x + 60 Reorder the terms: 1 + 1 + 9x + -1x = 6x + 60 Combine like terms: 1 + 1 = 2 2 + 9x + -1x = 6x + 60 Combine like terms: 9x + -1x = 8x 2 + 8x = 6x + 60 Reorder the terms: 2 + 8x = 60 + 6x Solving 2 + 8x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 8x + -6x = 60 + 6x + -6x Combine like terms: 8x + -6x = 2x 2 + 2x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 2x = 60 + 0 2 + 2x = 60 Add '-2' to each side of the equation. 2 + -2 + 2x = 60 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 60 + -2 2x = 60 + -2 Combine like terms: 60 + -2 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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