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Simplifying 4(x + 5) + 7x = 9x + -8 Reorder the terms: 4(5 + x) + 7x = 9x + -8 (5 * 4 + x * 4) + 7x = 9x + -8 (20 + 4x) + 7x = 9x + -8 Combine like terms: 4x + 7x = 11x 20 + 11x = 9x + -8 Reorder the terms: 20 + 11x = -8 + 9x Solving 20 + 11x = -8 + 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. 20 + 11x + -9x = -8 + 9x + -9x Combine like terms: 11x + -9x = 2x 20 + 2x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 2x = -8 + 0 20 + 2x = -8 Add '-20' to each side of the equation. 20 + -20 + 2x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -8 + -20 2x = -8 + -20 Combine like terms: -8 + -20 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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