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Simplifying 8(x + 6) = 4(x + 21) Reorder the terms: 8(6 + x) = 4(x + 21) (6 * 8 + x * 8) = 4(x + 21) (48 + 8x) = 4(x + 21) Reorder the terms: 48 + 8x = 4(21 + x) 48 + 8x = (21 * 4 + x * 4) 48 + 8x = (84 + 4x) Solving 48 + 8x = 84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 8x + -4x = 84 + 4x + -4x Combine like terms: 8x + -4x = 4x 48 + 4x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 4x = 84 + 0 48 + 4x = 84 Add '-48' to each side of the equation. 48 + -48 + 4x = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 84 + -48 4x = 84 + -48 Combine like terms: 84 + -48 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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