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Simplifying 2(x + 21) = x + -24 Reorder the terms: 2(21 + x) = x + -24 (21 * 2 + x * 2) = x + -24 (42 + 2x) = x + -24 Reorder the terms: 42 + 2x = -24 + x Solving 42 + 2x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 2x + -1x = -24 + x + -1x Combine like terms: 2x + -1x = 1x 42 + 1x = -24 + x + -1x Combine like terms: x + -1x = 0 42 + 1x = -24 + 0 42 + 1x = -24 Add '-42' to each side of the equation. 42 + -42 + 1x = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = -24 + -42 1x = -24 + -42 Combine like terms: -24 + -42 = -66 1x = -66 Divide each side by '1'. x = -66 Simplifying x = -66
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