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Simplifying 37 + -1(4x + -6) = -1(9x + -5) + 73 Reorder the terms: 37 + -1(-6 + 4x) = -1(9x + -5) + 73 37 + (-6 * -1 + 4x * -1) = -1(9x + -5) + 73 37 + (6 + -4x) = -1(9x + -5) + 73 Combine like terms: 37 + 6 = 43 43 + -4x = -1(9x + -5) + 73 Reorder the terms: 43 + -4x = -1(-5 + 9x) + 73 43 + -4x = (-5 * -1 + 9x * -1) + 73 43 + -4x = (5 + -9x) + 73 Reorder the terms: 43 + -4x = 5 + 73 + -9x Combine like terms: 5 + 73 = 78 43 + -4x = 78 + -9x Solving 43 + -4x = 78 + -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. 43 + -4x + 9x = 78 + -9x + 9x Combine like terms: -4x + 9x = 5x 43 + 5x = 78 + -9x + 9x Combine like terms: -9x + 9x = 0 43 + 5x = 78 + 0 43 + 5x = 78 Add '-43' to each side of the equation. 43 + -43 + 5x = 78 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = 78 + -43 5x = 78 + -43 Combine like terms: 78 + -43 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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