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Simplifying 5(5x + 7) = 4(6x + 12) Reorder the terms: 5(7 + 5x) = 4(6x + 12) (7 * 5 + 5x * 5) = 4(6x + 12) (35 + 25x) = 4(6x + 12) Reorder the terms: 35 + 25x = 4(12 + 6x) 35 + 25x = (12 * 4 + 6x * 4) 35 + 25x = (48 + 24x) Solving 35 + 25x = 48 + 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. 35 + 25x + -24x = 48 + 24x + -24x Combine like terms: 25x + -24x = 1x 35 + 1x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 35 + 1x = 48 + 0 35 + 1x = 48 Add '-35' to each side of the equation. 35 + -35 + 1x = 48 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 48 + -35 1x = 48 + -35 Combine like terms: 48 + -35 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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