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Simplifying 2(x + 7) + -2 = 54 + -5x Reorder the terms: 2(7 + x) + -2 = 54 + -5x (7 * 2 + x * 2) + -2 = 54 + -5x (14 + 2x) + -2 = 54 + -5x Reorder the terms: 14 + -2 + 2x = 54 + -5x Combine like terms: 14 + -2 = 12 12 + 2x = 54 + -5x Solving 12 + 2x = 54 + -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. 12 + 2x + 5x = 54 + -5x + 5x Combine like terms: 2x + 5x = 7x 12 + 7x = 54 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 7x = 54 + 0 12 + 7x = 54 Add '-12' to each side of the equation. 12 + -12 + 7x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 54 + -12 7x = 54 + -12 Combine like terms: 54 + -12 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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