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Simplifying -9x + 5(x + 9) + -4 = 8x + 137 Reorder the terms: -9x + 5(9 + x) + -4 = 8x + 137 -9x + (9 * 5 + x * 5) + -4 = 8x + 137 -9x + (45 + 5x) + -4 = 8x + 137 Reorder the terms: 45 + -4 + -9x + 5x = 8x + 137 Combine like terms: 45 + -4 = 41 41 + -9x + 5x = 8x + 137 Combine like terms: -9x + 5x = -4x 41 + -4x = 8x + 137 Reorder the terms: 41 + -4x = 137 + 8x Solving 41 + -4x = 137 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + -4x + -8x = 137 + 8x + -8x Combine like terms: -4x + -8x = -12x 41 + -12x = 137 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -12x = 137 + 0 41 + -12x = 137 Add '-41' to each side of the equation. 41 + -41 + -12x = 137 + -41 Combine like terms: 41 + -41 = 0 0 + -12x = 137 + -41 -12x = 137 + -41 Combine like terms: 137 + -41 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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