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Simplifying 7 + 9(x + -5) = 2 + -9(x + -5) Reorder the terms: 7 + 9(-5 + x) = 2 + -9(x + -5) 7 + (-5 * 9 + x * 9) = 2 + -9(x + -5) 7 + (-45 + 9x) = 2 + -9(x + -5) Combine like terms: 7 + -45 = -38 -38 + 9x = 2 + -9(x + -5) Reorder the terms: -38 + 9x = 2 + -9(-5 + x) -38 + 9x = 2 + (-5 * -9 + x * -9) -38 + 9x = 2 + (45 + -9x) Combine like terms: 2 + 45 = 47 -38 + 9x = 47 + -9x Solving -38 + 9x = 47 + -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. -38 + 9x + 9x = 47 + -9x + 9x Combine like terms: 9x + 9x = 18x -38 + 18x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 -38 + 18x = 47 + 0 -38 + 18x = 47 Add '38' to each side of the equation. -38 + 38 + 18x = 47 + 38 Combine like terms: -38 + 38 = 0 0 + 18x = 47 + 38 18x = 47 + 38 Combine like terms: 47 + 38 = 85 18x = 85 Divide each side by '18'. x = 4.722222222 Simplifying x = 4.722222222
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