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Simplifying (7x + 5x + 4) + -1(7x + 5) = 9x + 10 Reorder the terms: (4 + 7x + 5x) + -1(7x + 5) = 9x + 10 Combine like terms: 7x + 5x = 12x (4 + 12x) + -1(7x + 5) = 9x + 10 Remove parenthesis around (4 + 12x) 4 + 12x + -1(7x + 5) = 9x + 10 Reorder the terms: 4 + 12x + -1(5 + 7x) = 9x + 10 4 + 12x + (5 * -1 + 7x * -1) = 9x + 10 4 + 12x + (-5 + -7x) = 9x + 10 Reorder the terms: 4 + -5 + 12x + -7x = 9x + 10 Combine like terms: 4 + -5 = -1 -1 + 12x + -7x = 9x + 10 Combine like terms: 12x + -7x = 5x -1 + 5x = 9x + 10 Reorder the terms: -1 + 5x = 10 + 9x Solving -1 + 5x = 10 + 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. -1 + 5x + -9x = 10 + 9x + -9x Combine like terms: 5x + -9x = -4x -1 + -4x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -4x = 10 + 0 -1 + -4x = 10 Add '1' to each side of the equation. -1 + 1 + -4x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 10 + 1 -4x = 10 + 1 Combine like terms: 10 + 1 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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