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Simplifying 5 + 9(x + -6) = 7 + -4(x + -5) Reorder the terms: 5 + 9(-6 + x) = 7 + -4(x + -5) 5 + (-6 * 9 + x * 9) = 7 + -4(x + -5) 5 + (-54 + 9x) = 7 + -4(x + -5) Combine like terms: 5 + -54 = -49 -49 + 9x = 7 + -4(x + -5) Reorder the terms: -49 + 9x = 7 + -4(-5 + x) -49 + 9x = 7 + (-5 * -4 + x * -4) -49 + 9x = 7 + (20 + -4x) Combine like terms: 7 + 20 = 27 -49 + 9x = 27 + -4x Solving -49 + 9x = 27 + -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. -49 + 9x + 4x = 27 + -4x + 4x Combine like terms: 9x + 4x = 13x -49 + 13x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -49 + 13x = 27 + 0 -49 + 13x = 27 Add '49' to each side of the equation. -49 + 49 + 13x = 27 + 49 Combine like terms: -49 + 49 = 0 0 + 13x = 27 + 49 13x = 27 + 49 Combine like terms: 27 + 49 = 76 13x = 76 Divide each side by '13'. x = 5.846153846 Simplifying x = 5.846153846
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