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Simplifying x + 8 = 2(x + 21) Reorder the terms: 8 + x = 2(x + 21) Reorder the terms: 8 + x = 2(21 + x) 8 + x = (21 * 2 + x * 2) 8 + x = (42 + 2x) Solving 8 + x = 42 + 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. 8 + x + -2x = 42 + 2x + -2x Combine like terms: x + -2x = -1x 8 + -1x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = 42 + 0 8 + -1x = 42 Add '-8' to each side of the equation. 8 + -8 + -1x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 42 + -8 -1x = 42 + -8 Combine like terms: 42 + -8 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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