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Simplifying 8 + -2(x + -5) = x + 21 Reorder the terms: 8 + -2(-5 + x) = x + 21 8 + (-5 * -2 + x * -2) = x + 21 8 + (10 + -2x) = x + 21 Combine like terms: 8 + 10 = 18 18 + -2x = x + 21 Reorder the terms: 18 + -2x = 21 + x Solving 18 + -2x = 21 + 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. 18 + -2x + -1x = 21 + x + -1x Combine like terms: -2x + -1x = -3x 18 + -3x = 21 + x + -1x Combine like terms: x + -1x = 0 18 + -3x = 21 + 0 18 + -3x = 21 Add '-18' to each side of the equation. 18 + -18 + -3x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 21 + -18 -3x = 21 + -18 Combine like terms: 21 + -18 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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