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Simplifying 8(x + 6) = 24x Reorder the terms: 8(6 + x) = 24x (6 * 8 + x * 8) = 24x (48 + 8x) = 24x Solving 48 + 8x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 48 + 8x + -24x = 24x + -24x Combine like terms: 8x + -24x = -16x 48 + -16x = 24x + -24x Combine like terms: 24x + -24x = 0 48 + -16x = 0 Add '-48' to each side of the equation. 48 + -48 + -16x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -16x = 0 + -48 -16x = 0 + -48 Combine like terms: 0 + -48 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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