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Simplifying 3(4 + -7x + -2x) + 5(5x + 5) = 23 Combine like terms: -7x + -2x = -9x 3(4 + -9x) + 5(5x + 5) = 23 (4 * 3 + -9x * 3) + 5(5x + 5) = 23 (12 + -27x) + 5(5x + 5) = 23 Reorder the terms: 12 + -27x + 5(5 + 5x) = 23 12 + -27x + (5 * 5 + 5x * 5) = 23 12 + -27x + (25 + 25x) = 23 Reorder the terms: 12 + 25 + -27x + 25x = 23 Combine like terms: 12 + 25 = 37 37 + -27x + 25x = 23 Combine like terms: -27x + 25x = -2x 37 + -2x = 23 Solving 37 + -2x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -2x = 23 + -37 Combine like terms: 37 + -37 = 0 0 + -2x = 23 + -37 -2x = 23 + -37 Combine like terms: 23 + -37 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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