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Simplifying 5(x + 21) = 8x Reorder the terms: 5(21 + x) = 8x (21 * 5 + x * 5) = 8x (105 + 5x) = 8x Solving 105 + 5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 105 + 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x 105 + -3x = 8x + -8x Combine like terms: 8x + -8x = 0 105 + -3x = 0 Add '-105' to each side of the equation. 105 + -105 + -3x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -3x = 0 + -105 -3x = 0 + -105 Combine like terms: 0 + -105 = -105 -3x = -105 Divide each side by '-3'. x = 35 Simplifying x = 35
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