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Simplifying 4(2x + -1) + 3(x + 7) = 9x + 25 Reorder the terms: 4(-1 + 2x) + 3(x + 7) = 9x + 25 (-1 * 4 + 2x * 4) + 3(x + 7) = 9x + 25 (-4 + 8x) + 3(x + 7) = 9x + 25 Reorder the terms: -4 + 8x + 3(7 + x) = 9x + 25 -4 + 8x + (7 * 3 + x * 3) = 9x + 25 -4 + 8x + (21 + 3x) = 9x + 25 Reorder the terms: -4 + 21 + 8x + 3x = 9x + 25 Combine like terms: -4 + 21 = 17 17 + 8x + 3x = 9x + 25 Combine like terms: 8x + 3x = 11x 17 + 11x = 9x + 25 Reorder the terms: 17 + 11x = 25 + 9x Solving 17 + 11x = 25 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 11x + -9x = 25 + 9x + -9x Combine like terms: 11x + -9x = 2x 17 + 2x = 25 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 2x = 25 + 0 17 + 2x = 25 Add '-17' to each side of the equation. 17 + -17 + 2x = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 25 + -17 2x = 25 + -17 Combine like terms: 25 + -17 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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