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Simplifying (5x + 7x + 4) + -1(5x + 5) = 9x + 12 Reorder the terms: (4 + 5x + 7x) + -1(5x + 5) = 9x + 12 Combine like terms: 5x + 7x = 12x (4 + 12x) + -1(5x + 5) = 9x + 12 Remove parenthesis around (4 + 12x) 4 + 12x + -1(5x + 5) = 9x + 12 Reorder the terms: 4 + 12x + -1(5 + 5x) = 9x + 12 4 + 12x + (5 * -1 + 5x * -1) = 9x + 12 4 + 12x + (-5 + -5x) = 9x + 12 Reorder the terms: 4 + -5 + 12x + -5x = 9x + 12 Combine like terms: 4 + -5 = -1 -1 + 12x + -5x = 9x + 12 Combine like terms: 12x + -5x = 7x -1 + 7x = 9x + 12 Reorder the terms: -1 + 7x = 12 + 9x Solving -1 + 7x = 12 + 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 + 7x + -9x = 12 + 9x + -9x Combine like terms: 7x + -9x = -2x -1 + -2x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -2x = 12 + 0 -1 + -2x = 12 Add '1' to each side of the equation. -1 + 1 + -2x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 12 + 1 -2x = 12 + 1 Combine like terms: 12 + 1 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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