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Simplifying 4x + -1(9x + 5) = 3x + -29 Reorder the terms: 4x + -1(5 + 9x) = 3x + -29 4x + (5 * -1 + 9x * -1) = 3x + -29 4x + (-5 + -9x) = 3x + -29 Reorder the terms: -5 + 4x + -9x = 3x + -29 Combine like terms: 4x + -9x = -5x -5 + -5x = 3x + -29 Reorder the terms: -5 + -5x = -29 + 3x Solving -5 + -5x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -5x + -3x = -29 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = -29 + 0 -5 + -8x = -29 Add '5' to each side of the equation. -5 + 5 + -8x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -29 + 5 -8x = -29 + 5 Combine like terms: -29 + 5 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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