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Simplifying 24 + (32 + x) = 2(x + 24) Remove parenthesis around (32 + x) 24 + 32 + x = 2(x + 24) Combine like terms: 24 + 32 = 56 56 + x = 2(x + 24) Reorder the terms: 56 + x = 2(24 + x) 56 + x = (24 * 2 + x * 2) 56 + x = (48 + 2x) Solving 56 + x = 48 + 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. 56 + x + -2x = 48 + 2x + -2x Combine like terms: x + -2x = -1x 56 + -1x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + -1x = 48 + 0 56 + -1x = 48 Add '-56' to each side of the equation. 56 + -56 + -1x = 48 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 48 + -56 -1x = 48 + -56 Combine like terms: 48 + -56 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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