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Simplifying -9x + -37(x + 2) = -9(5x + 7) Reorder the terms: -9x + -37(2 + x) = -9(5x + 7) -9x + (2 * -37 + x * -37) = -9(5x + 7) -9x + (-74 + -37x) = -9(5x + 7) Reorder the terms: -74 + -9x + -37x = -9(5x + 7) Combine like terms: -9x + -37x = -46x -74 + -46x = -9(5x + 7) Reorder the terms: -74 + -46x = -9(7 + 5x) -74 + -46x = (7 * -9 + 5x * -9) -74 + -46x = (-63 + -45x) Solving -74 + -46x = -63 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -74 + -46x + 45x = -63 + -45x + 45x Combine like terms: -46x + 45x = -1x -74 + -1x = -63 + -45x + 45x Combine like terms: -45x + 45x = 0 -74 + -1x = -63 + 0 -74 + -1x = -63 Add '74' to each side of the equation. -74 + 74 + -1x = -63 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = -63 + 74 -1x = -63 + 74 Combine like terms: -63 + 74 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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