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Simplifying 3(2x + 7) = (24x + 5) Reorder the terms: 3(7 + 2x) = (24x + 5) (7 * 3 + 2x * 3) = (24x + 5) (21 + 6x) = (24x + 5) Reorder the terms: 21 + 6x = (5 + 24x) Remove parenthesis around (5 + 24x) 21 + 6x = 5 + 24x Solving 21 + 6x = 5 + 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. 21 + 6x + -24x = 5 + 24x + -24x Combine like terms: 6x + -24x = -18x 21 + -18x = 5 + 24x + -24x Combine like terms: 24x + -24x = 0 21 + -18x = 5 + 0 21 + -18x = 5 Add '-21' to each side of the equation. 21 + -21 + -18x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = 5 + -21 -18x = 5 + -21 Combine like terms: 5 + -21 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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