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Simplifying 9x + -1(4x + 5) = 8x + -29 Reorder the terms: 9x + -1(5 + 4x) = 8x + -29 9x + (5 * -1 + 4x * -1) = 8x + -29 9x + (-5 + -4x) = 8x + -29 Reorder the terms: -5 + 9x + -4x = 8x + -29 Combine like terms: 9x + -4x = 5x -5 + 5x = 8x + -29 Reorder the terms: -5 + 5x = -29 + 8x Solving -5 + 5x = -29 + 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. -5 + 5x + -8x = -29 + 8x + -8x Combine like terms: 5x + -8x = -3x -5 + -3x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -3x = -29 + 0 -5 + -3x = -29 Add '5' to each side of the equation. -5 + 5 + -3x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -29 + 5 -3x = -29 + 5 Combine like terms: -29 + 5 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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