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Simplifying 5 + 9(x + -5) = 7 + -6(x + -5) Reorder the terms: 5 + 9(-5 + x) = 7 + -6(x + -5) 5 + (-5 * 9 + x * 9) = 7 + -6(x + -5) 5 + (-45 + 9x) = 7 + -6(x + -5) Combine like terms: 5 + -45 = -40 -40 + 9x = 7 + -6(x + -5) Reorder the terms: -40 + 9x = 7 + -6(-5 + x) -40 + 9x = 7 + (-5 * -6 + x * -6) -40 + 9x = 7 + (30 + -6x) Combine like terms: 7 + 30 = 37 -40 + 9x = 37 + -6x Solving -40 + 9x = 37 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 9x + 6x = 37 + -6x + 6x Combine like terms: 9x + 6x = 15x -40 + 15x = 37 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 15x = 37 + 0 -40 + 15x = 37 Add '40' to each side of the equation. -40 + 40 + 15x = 37 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 37 + 40 15x = 37 + 40 Combine like terms: 37 + 40 = 77 15x = 77 Divide each side by '15'. x = 5.133333333 Simplifying x = 5.133333333
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