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Simplifying 3x + -1(4x + 5) = 5x + -29 Reorder the terms: 3x + -1(5 + 4x) = 5x + -29 3x + (5 * -1 + 4x * -1) = 5x + -29 3x + (-5 + -4x) = 5x + -29 Reorder the terms: -5 + 3x + -4x = 5x + -29 Combine like terms: 3x + -4x = -1x -5 + -1x = 5x + -29 Reorder the terms: -5 + -1x = -29 + 5x Solving -5 + -1x = -29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -1x + -5x = -29 + 5x + -5x Combine like terms: -1x + -5x = -6x -5 + -6x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -6x = -29 + 0 -5 + -6x = -29 Add '5' to each side of the equation. -5 + 5 + -6x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -29 + 5 -6x = -29 + 5 Combine like terms: -29 + 5 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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