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Simplifying (7x + -9) + -1(9x + 4) = -3x + 2 Reorder the terms: (-9 + 7x) + -1(9x + 4) = -3x + 2 Remove parenthesis around (-9 + 7x) -9 + 7x + -1(9x + 4) = -3x + 2 Reorder the terms: -9 + 7x + -1(4 + 9x) = -3x + 2 -9 + 7x + (4 * -1 + 9x * -1) = -3x + 2 -9 + 7x + (-4 + -9x) = -3x + 2 Reorder the terms: -9 + -4 + 7x + -9x = -3x + 2 Combine like terms: -9 + -4 = -13 -13 + 7x + -9x = -3x + 2 Combine like terms: 7x + -9x = -2x -13 + -2x = -3x + 2 Reorder the terms: -13 + -2x = 2 + -3x Solving -13 + -2x = 2 + -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. -13 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x -13 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 1x = 2 + 0 -13 + 1x = 2 Add '13' to each side of the equation. -13 + 13 + 1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 2 + 13 1x = 2 + 13 Combine like terms: 2 + 13 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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