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Simplifying 5x + -1(9x + 5) = 4x + -37 Reorder the terms: 5x + -1(5 + 9x) = 4x + -37 5x + (5 * -1 + 9x * -1) = 4x + -37 5x + (-5 + -9x) = 4x + -37 Reorder the terms: -5 + 5x + -9x = 4x + -37 Combine like terms: 5x + -9x = -4x -5 + -4x = 4x + -37 Reorder the terms: -5 + -4x = -37 + 4x Solving -5 + -4x = -37 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -4x + -4x = -37 + 4x + -4x Combine like terms: -4x + -4x = -8x -5 + -8x = -37 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -8x = -37 + 0 -5 + -8x = -37 Add '5' to each side of the equation. -5 + 5 + -8x = -37 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -37 + 5 -8x = -37 + 5 Combine like terms: -37 + 5 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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