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Simplifying 7 + 9(x + -5) = 9 + -2(x + -5) Reorder the terms: 7 + 9(-5 + x) = 9 + -2(x + -5) 7 + (-5 * 9 + x * 9) = 9 + -2(x + -5) 7 + (-45 + 9x) = 9 + -2(x + -5) Combine like terms: 7 + -45 = -38 -38 + 9x = 9 + -2(x + -5) Reorder the terms: -38 + 9x = 9 + -2(-5 + x) -38 + 9x = 9 + (-5 * -2 + x * -2) -38 + 9x = 9 + (10 + -2x) Combine like terms: 9 + 10 = 19 -38 + 9x = 19 + -2x Solving -38 + 9x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 9x + 2x = 19 + -2x + 2x Combine like terms: 9x + 2x = 11x -38 + 11x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 11x = 19 + 0 -38 + 11x = 19 Add '38' to each side of the equation. -38 + 38 + 11x = 19 + 38 Combine like terms: -38 + 38 = 0 0 + 11x = 19 + 38 11x = 19 + 38 Combine like terms: 19 + 38 = 57 11x = 57 Divide each side by '11'. x = 5.181818182 Simplifying x = 5.181818182
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