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Simplifying 7x + -1(9x + 4) = 9x + -37 Reorder the terms: 7x + -1(4 + 9x) = 9x + -37 7x + (4 * -1 + 9x * -1) = 9x + -37 7x + (-4 + -9x) = 9x + -37 Reorder the terms: -4 + 7x + -9x = 9x + -37 Combine like terms: 7x + -9x = -2x -4 + -2x = 9x + -37 Reorder the terms: -4 + -2x = -37 + 9x Solving -4 + -2x = -37 + 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. -4 + -2x + -9x = -37 + 9x + -9x Combine like terms: -2x + -9x = -11x -4 + -11x = -37 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -11x = -37 + 0 -4 + -11x = -37 Add '4' to each side of the equation. -4 + 4 + -11x = -37 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = -37 + 4 -11x = -37 + 4 Combine like terms: -37 + 4 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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