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Simplifying 6(x + 7) + -6 = 60 + -2x Reorder the terms: 6(7 + x) + -6 = 60 + -2x (7 * 6 + x * 6) + -6 = 60 + -2x (42 + 6x) + -6 = 60 + -2x Reorder the terms: 42 + -6 + 6x = 60 + -2x Combine like terms: 42 + -6 = 36 36 + 6x = 60 + -2x Solving 36 + 6x = 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. 36 + 6x + 2x = 60 + -2x + 2x Combine like terms: 6x + 2x = 8x 36 + 8x = 60 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 8x = 60 + 0 36 + 8x = 60 Add '-36' to each side of the equation. 36 + -36 + 8x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 60 + -36 8x = 60 + -36 Combine like terms: 60 + -36 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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