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Simplifying (x + 24) + 8 = 2(x + 8) Reorder the terms: (24 + x) + 8 = 2(x + 8) Remove parenthesis around (24 + x) 24 + x + 8 = 2(x + 8) Reorder the terms: 24 + 8 + x = 2(x + 8) Combine like terms: 24 + 8 = 32 32 + x = 2(x + 8) Reorder the terms: 32 + x = 2(8 + x) 32 + x = (8 * 2 + x * 2) 32 + x = (16 + 2x) Solving 32 + x = 16 + 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. 32 + x + -2x = 16 + 2x + -2x Combine like terms: x + -2x = -1x 32 + -1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -1x = 16 + 0 32 + -1x = 16 Add '-32' to each side of the equation. 32 + -32 + -1x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 16 + -32 -1x = 16 + -32 Combine like terms: 16 + -32 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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