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Simplifying 2(x + 6) + -2 = 74 + -6x Reorder the terms: 2(6 + x) + -2 = 74 + -6x (6 * 2 + x * 2) + -2 = 74 + -6x (12 + 2x) + -2 = 74 + -6x Reorder the terms: 12 + -2 + 2x = 74 + -6x Combine like terms: 12 + -2 = 10 10 + 2x = 74 + -6x Solving 10 + 2x = 74 + -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. 10 + 2x + 6x = 74 + -6x + 6x Combine like terms: 2x + 6x = 8x 10 + 8x = 74 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 8x = 74 + 0 10 + 8x = 74 Add '-10' to each side of the equation. 10 + -10 + 8x = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 74 + -10 8x = 74 + -10 Combine like terms: 74 + -10 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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