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Simplifying 3(3x + 7) + 3(2 + 5x) = -20 + 25x Reorder the terms: 3(7 + 3x) + 3(2 + 5x) = -20 + 25x (7 * 3 + 3x * 3) + 3(2 + 5x) = -20 + 25x (21 + 9x) + 3(2 + 5x) = -20 + 25x 21 + 9x + (2 * 3 + 5x * 3) = -20 + 25x 21 + 9x + (6 + 15x) = -20 + 25x Reorder the terms: 21 + 6 + 9x + 15x = -20 + 25x Combine like terms: 21 + 6 = 27 27 + 9x + 15x = -20 + 25x Combine like terms: 9x + 15x = 24x 27 + 24x = -20 + 25x Solving 27 + 24x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 27 + 24x + -25x = -20 + 25x + -25x Combine like terms: 24x + -25x = -1x 27 + -1x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 27 + -1x = -20 + 0 27 + -1x = -20 Add '-27' to each side of the equation. 27 + -27 + -1x = -20 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -20 + -27 -1x = -20 + -27 Combine like terms: -20 + -27 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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