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Simplifying 5(5x + 3) + 6(4 + 8x) = 21 + 74x Reorder the terms: 5(3 + 5x) + 6(4 + 8x) = 21 + 74x (3 * 5 + 5x * 5) + 6(4 + 8x) = 21 + 74x (15 + 25x) + 6(4 + 8x) = 21 + 74x 15 + 25x + (4 * 6 + 8x * 6) = 21 + 74x 15 + 25x + (24 + 48x) = 21 + 74x Reorder the terms: 15 + 24 + 25x + 48x = 21 + 74x Combine like terms: 15 + 24 = 39 39 + 25x + 48x = 21 + 74x Combine like terms: 25x + 48x = 73x 39 + 73x = 21 + 74x Solving 39 + 73x = 21 + 74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74x' to each side of the equation. 39 + 73x + -74x = 21 + 74x + -74x Combine like terms: 73x + -74x = -1x 39 + -1x = 21 + 74x + -74x Combine like terms: 74x + -74x = 0 39 + -1x = 21 + 0 39 + -1x = 21 Add '-39' to each side of the equation. 39 + -39 + -1x = 21 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 21 + -39 -1x = 21 + -39 Combine like terms: 21 + -39 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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