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Simplifying x + 6 = 2(x + 10 + 6) Reorder the terms: 6 + x = 2(x + 10 + 6) Reorder the terms: 6 + x = 2(10 + 6 + x) Combine like terms: 10 + 6 = 16 6 + x = 2(16 + x) 6 + x = (16 * 2 + x * 2) 6 + x = (32 + 2x) Solving 6 + x = 32 + 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. 6 + x + -2x = 32 + 2x + -2x Combine like terms: x + -2x = -1x 6 + -1x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 32 + 0 6 + -1x = 32 Add '-6' to each side of the equation. 6 + -6 + -1x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 32 + -6 -1x = 32 + -6 Combine like terms: 32 + -6 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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