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Simplifying 8x + -2(2x + -5) = 3x + 21 Reorder the terms: 8x + -2(-5 + 2x) = 3x + 21 8x + (-5 * -2 + 2x * -2) = 3x + 21 8x + (10 + -4x) = 3x + 21 Reorder the terms: 10 + 8x + -4x = 3x + 21 Combine like terms: 8x + -4x = 4x 10 + 4x = 3x + 21 Reorder the terms: 10 + 4x = 21 + 3x Solving 10 + 4x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 21 + 0 10 + 1x = 21 Add '-10' to each side of the equation. 10 + -10 + 1x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 21 + -10 1x = 21 + -10 Combine like terms: 21 + -10 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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