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Simplifying 7x + -1(2x + 5) = 9x + -29 Reorder the terms: 7x + -1(5 + 2x) = 9x + -29 7x + (5 * -1 + 2x * -1) = 9x + -29 7x + (-5 + -2x) = 9x + -29 Reorder the terms: -5 + 7x + -2x = 9x + -29 Combine like terms: 7x + -2x = 5x -5 + 5x = 9x + -29 Reorder the terms: -5 + 5x = -29 + 9x Solving -5 + 5x = -29 + 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. -5 + 5x + -9x = -29 + 9x + -9x Combine like terms: 5x + -9x = -4x -5 + -4x = -29 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -4x = -29 + 0 -5 + -4x = -29 Add '5' to each side of the equation. -5 + 5 + -4x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -29 + 5 -4x = -29 + 5 Combine like terms: -29 + 5 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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