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Simplifying 2(2x + 24) = 8x Reorder the terms: 2(24 + 2x) = 8x (24 * 2 + 2x * 2) = 8x (48 + 4x) = 8x Solving 48 + 4x = 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. 48 + 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x 48 + -4x = 8x + -8x Combine like terms: 8x + -8x = 0 48 + -4x = 0 Add '-48' to each side of the equation. 48 + -48 + -4x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = 0 + -48 -4x = 0 + -48 Combine like terms: 0 + -48 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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