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Simplifying 6(x + 2) + 10 = 16 + -1x + 27 Reorder the terms: 6(2 + x) + 10 = 16 + -1x + 27 (2 * 6 + x * 6) + 10 = 16 + -1x + 27 (12 + 6x) + 10 = 16 + -1x + 27 Reorder the terms: 12 + 10 + 6x = 16 + -1x + 27 Combine like terms: 12 + 10 = 22 22 + 6x = 16 + -1x + 27 Reorder the terms: 22 + 6x = 16 + 27 + -1x Combine like terms: 16 + 27 = 43 22 + 6x = 43 + -1x Solving 22 + 6x = 43 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + 6x + x = 43 + -1x + x Combine like terms: 6x + x = 7x 22 + 7x = 43 + -1x + x Combine like terms: -1x + x = 0 22 + 7x = 43 + 0 22 + 7x = 43 Add '-22' to each side of the equation. 22 + -22 + 7x = 43 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 43 + -22 7x = 43 + -22 Combine like terms: 43 + -22 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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