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Simplifying 21 = 5(x + 6) + -8x Reorder the terms: 21 = 5(6 + x) + -8x 21 = (6 * 5 + x * 5) + -8x 21 = (30 + 5x) + -8x Combine like terms: 5x + -8x = -3x 21 = 30 + -3x Solving 21 = 30 + -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. 21 + 3x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 3x = 30 + 0 21 + 3x = 30 Add '-21' to each side of the equation. 21 + -21 + 3x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 30 + -21 3x = 30 + -21 Combine like terms: 30 + -21 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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