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Simplifying 2(4 + -9x + -7x) + 5(6x + 7) = 25 Combine like terms: -9x + -7x = -16x 2(4 + -16x) + 5(6x + 7) = 25 (4 * 2 + -16x * 2) + 5(6x + 7) = 25 (8 + -32x) + 5(6x + 7) = 25 Reorder the terms: 8 + -32x + 5(7 + 6x) = 25 8 + -32x + (7 * 5 + 6x * 5) = 25 8 + -32x + (35 + 30x) = 25 Reorder the terms: 8 + 35 + -32x + 30x = 25 Combine like terms: 8 + 35 = 43 43 + -32x + 30x = 25 Combine like terms: -32x + 30x = -2x 43 + -2x = 25 Solving 43 + -2x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -2x = 25 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = 25 + -43 -2x = 25 + -43 Combine like terms: 25 + -43 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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